diff --git a/compiler/rustc_hir_typeck/src/fn_ctxt/checks.rs b/compiler/rustc_hir_typeck/src/fn_ctxt/checks.rs
index e500207d6da19..415630dab38b3 100644
--- a/compiler/rustc_hir_typeck/src/fn_ctxt/checks.rs
+++ b/compiler/rustc_hir_typeck/src/fn_ctxt/checks.rs
@@ -21,6 +21,7 @@ use rustc_middle::ty::error::TypeError;
 use rustc_middle::ty::{self, IsSuggestable, Ty, TyCtxt, TypeVisitableExt, Unnormalized};
 use rustc_middle::{bug, span_bug};
 use rustc_session::Session;
+use rustc_session::errors::ExprParenthesesNeeded;
 use rustc_span::{DUMMY_SP, Ident, Span, kw, sym};
 use rustc_trait_selection::error_reporting::infer::{FailureCode, ObligationCauseExt};
 use rustc_trait_selection::infer::InferCtxtExt;
@@ -954,14 +955,7 @@ impl<'a, 'tcx> FnCtxt<'a, 'tcx> {
                         // wrapping in parentheses. We find the statement or expression
                         // following the `match` (`&& true`) and see if it is something that
                         // can reasonably be interpreted as a binop following an expression.
-                        err.multipart_suggestion(
-                            "parentheses are required to parse this as an expression",
-                            vec![
-                                (expr.span.shrink_to_lo(), "(".to_string()),
-                                (expr.span.shrink_to_hi(), ")".to_string()),
-                            ],
-                            Applicability::MachineApplicable,
-                        );
+                        err.subdiagnostic(ExprParenthesesNeeded::surrounding(expr.span));
                     } else if expr.can_have_side_effects() {
                         self.suggest_semicolon_at_end(expr.span, err);
                     }
diff --git a/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs b/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs
index afd5356d5a1e7..7e2f3e62589ff 100644
--- a/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs
+++ b/compiler/rustc_hir_typeck/src/fn_ctxt/suggestions.rs
@@ -799,14 +799,7 @@ impl<'a, 'tcx> FnCtxt<'a, 'tcx> {
                     && let hir::StmtKind::Expr(_) = stmt.kind
                     && self.is_next_stmt_expr_continuation(stmt.hir_id)
                 {
-                    err.multipart_suggestion(
-                        "parentheses are required to parse this as an expression",
-                        vec![
-                            (stmt.span.shrink_to_lo(), "(".to_string()),
-                            (stmt.span.shrink_to_hi(), ")".to_string()),
-                        ],
-                        Applicability::MachineApplicable,
-                    );
+                    err.subdiagnostic(ExprParenthesesNeeded::surrounding(stmt.span));
                 } else {
                     err.span_suggestion(
                         expression.span.shrink_to_hi(),
@@ -843,14 +836,7 @@ impl<'a, 'tcx> FnCtxt<'a, 'tcx> {
                     // wrapping in parentheses. We find the statement or expression following the
                     // `if` (`&& true`) and see if it is something that can reasonably be
                     // interpreted as a binop following an expression.
-                    err.multipart_suggestion(
-                        "parentheses are required to parse this as an expression",
-                        vec![
-                            (stmt.span.shrink_to_lo(), "(".to_string()),
-                            (stmt.span.shrink_to_hi(), ")".to_string()),
-                        ],
-                        Applicability::MachineApplicable,
-                    );
+                    err.subdiagnostic(ExprParenthesesNeeded::surrounding(stmt.span));
                 }
             }
         }
diff --git a/compiler/rustc_middle/src/ty/diagnostics.rs b/compiler/rustc_middle/src/ty/diagnostics.rs
index a43a0c687261a..a9e7425fdcbf6 100644
--- a/compiler/rustc_middle/src/ty/diagnostics.rs
+++ b/compiler/rustc_middle/src/ty/diagnostics.rs
@@ -22,7 +22,7 @@ use crate::ty::{
 impl IntoDiagArg for Ty<'_> {
     fn into_diag_arg(self, path: &mut Option<std::path::PathBuf>) -> rustc_errors::DiagArgValue {
         ty::tls::with(|tcx| {
-            let ty = tcx.short_string(self, path);
+            let ty = tcx.short_string(tcx.lift(self), path);
             DiagArgValue::Str(std::borrow::Cow::Owned(ty))
         })
     }
@@ -31,7 +31,7 @@ impl IntoDiagArg for Ty<'_> {
 impl IntoDiagArg for Instance<'_> {
     fn into_diag_arg(self, path: &mut Option<std::path::PathBuf>) -> rustc_errors::DiagArgValue {
         ty::tls::with(|tcx| {
-            let instance = tcx.short_string_namespace(self, path, Namespace::ValueNS);
+            let instance = tcx.short_string_namespace(tcx.lift(self), path, Namespace::ValueNS);
             DiagArgValue::Str(std::borrow::Cow::Owned(instance))
         })
     }
diff --git a/compiler/rustc_middle/src/ty/error.rs b/compiler/rustc_middle/src/ty/error.rs
index 082e5de16cf98..52f37ed4a9eac 100644
--- a/compiler/rustc_middle/src/ty/error.rs
+++ b/compiler/rustc_middle/src/ty/error.rs
@@ -12,7 +12,7 @@ use rustc_macros::extension;
 pub use rustc_type_ir::error::ExpectedFound;
 
 use crate::ty::print::{FmtPrinter, Print, with_forced_trimmed_paths};
-use crate::ty::{self, Lift, Ty, TyCtxt};
+use crate::ty::{self, Ty, TyCtxt};
 
 pub type TypeError<'tcx> = rustc_type_ir::error::TypeError<TyCtxt<'tcx>>;
 
@@ -220,10 +220,10 @@ impl<'tcx> Ty<'tcx> {
 impl<'tcx> TyCtxt<'tcx> {
     pub fn string_with_limit<T>(self, t: T, length_limit: usize, ns: hir::def::Namespace) -> String
     where
-        T: Copy + for<'a, 'b> Lift<TyCtxt<'b>, Lifted: Print<'b, FmtPrinter<'a, 'b>>>,
+        T: Copy + for<'a> Print<FmtPrinter<'a, 'tcx>>,
     {
         let mut type_limit = 50;
-        let regular = FmtPrinter::print_string(self, ns, |p| self.lift(t).print(p))
+        let regular = FmtPrinter::print_string(self, ns, |p| t.print(p))
             .expect("could not write to `String`");
         if regular.len() <= length_limit {
             return regular;
@@ -233,7 +233,7 @@ impl<'tcx> TyCtxt<'tcx> {
             // Look for the longest properly trimmed path that still fits in length_limit.
             short = with_forced_trimmed_paths!({
                 let mut p = FmtPrinter::new_with_limit(self, ns, Limit(type_limit));
-                self.lift(t).print(&mut p).expect("could not print type");
+                t.print(&mut p).expect("could not print type");
                 p.into_buffer()
             });
             if short.len() <= length_limit || type_limit == 0 {
@@ -250,7 +250,7 @@ impl<'tcx> TyCtxt<'tcx> {
     /// where we wrote the file to is only printed once. The path will use the type namespace.
     pub fn short_string<T>(self, t: T, path: &mut Option<PathBuf>) -> String
     where
-        T: Copy + Hash + for<'a, 'b> Lift<TyCtxt<'b>, Lifted: Print<'b, FmtPrinter<'a, 'b>>>,
+        T: Copy + Hash + for<'a> Print<FmtPrinter<'a, 'tcx>>,
     {
         self.short_string_namespace(t, path, hir::def::Namespace::TypeNS)
     }
@@ -266,9 +266,9 @@ impl<'tcx> TyCtxt<'tcx> {
         namespace: hir::def::Namespace,
     ) -> String
     where
-        T: Copy + Hash + for<'a, 'b> Lift<TyCtxt<'b>, Lifted: Print<'b, FmtPrinter<'a, 'b>>>,
+        T: Copy + Hash + for<'a> Print<FmtPrinter<'a, 'tcx>>,
     {
-        let regular = FmtPrinter::print_string(self, namespace, |p| self.lift(t).print(p))
+        let regular = FmtPrinter::print_string(self, namespace, |p| t.print(p))
             .expect("could not write to `String`");
 
         if !self.sess.opts.unstable_opts.write_long_types_to_disk || self.sess.opts.verbose {
diff --git a/compiler/rustc_middle/src/ty/predicate.rs b/compiler/rustc_middle/src/ty/predicate.rs
index 94f642bebeb9f..26108f7be6964 100644
--- a/compiler/rustc_middle/src/ty/predicate.rs
+++ b/compiler/rustc_middle/src/ty/predicate.rs
@@ -113,7 +113,7 @@ impl<'tcx> Predicate<'tcx> {
 impl<'tcx> rustc_errors::IntoDiagArg for Predicate<'tcx> {
     fn into_diag_arg(self, path: &mut Option<std::path::PathBuf>) -> rustc_errors::DiagArgValue {
         ty::tls::with(|tcx| {
-            let pred = tcx.short_string(self, path);
+            let pred = tcx.short_string(tcx.lift(self), path);
             rustc_errors::DiagArgValue::Str(std::borrow::Cow::Owned(pred))
         })
     }
@@ -122,7 +122,7 @@ impl<'tcx> rustc_errors::IntoDiagArg for Predicate<'tcx> {
 impl<'tcx> rustc_errors::IntoDiagArg for Clause<'tcx> {
     fn into_diag_arg(self, path: &mut Option<std::path::PathBuf>) -> rustc_errors::DiagArgValue {
         ty::tls::with(|tcx| {
-            let clause = tcx.short_string(self, path);
+            let clause = tcx.short_string(tcx.lift(self), path);
             rustc_errors::DiagArgValue::Str(std::borrow::Cow::Owned(clause))
         })
     }
diff --git a/compiler/rustc_middle/src/ty/print/mod.rs b/compiler/rustc_middle/src/ty/print/mod.rs
index d5d1c3634c7d1..29875a3530c15 100644
--- a/compiler/rustc_middle/src/ty/print/mod.rs
+++ b/compiler/rustc_middle/src/ty/print/mod.rs
@@ -15,7 +15,7 @@ use super::Lift;
 
 pub type PrintError = std::fmt::Error;
 
-pub trait Print<'tcx, P> {
+pub trait Print<P> {
     fn print(&self, p: &mut P) -> Result<(), PrintError>;
 }
 
@@ -350,19 +350,19 @@ pub fn characteristic_def_id_of_type(ty: Ty<'_>) -> Option<DefId> {
     characteristic_def_id_of_type_cached(ty, &mut SsoHashSet::new())
 }
 
-impl<'tcx, P: Printer<'tcx>> Print<'tcx, P> for ty::Region<'tcx> {
+impl<'tcx, P: Printer<'tcx>> Print<P> for ty::Region<'tcx> {
     fn print(&self, p: &mut P) -> Result<(), PrintError> {
         p.print_region(*self)
     }
 }
 
-impl<'tcx, P: Printer<'tcx>> Print<'tcx, P> for Ty<'tcx> {
+impl<'tcx, P: Printer<'tcx>> Print<P> for Ty<'tcx> {
     fn print(&self, p: &mut P) -> Result<(), PrintError> {
         p.print_type(*self)
     }
 }
 
-impl<'tcx, P: Printer<'tcx> + std::fmt::Write> Print<'tcx, P> for ty::Instance<'tcx> {
+impl<'tcx, P: Printer<'tcx> + std::fmt::Write> Print<P> for ty::Instance<'tcx> {
     fn print(&self, cx: &mut P) -> Result<(), PrintError> {
         cx.print_def_path(self.def_id(), self.args)?;
         match self.def {
@@ -399,13 +399,13 @@ impl<'tcx, P: Printer<'tcx> + std::fmt::Write> Print<'tcx, P> for ty::Instance<'
     }
 }
 
-impl<'tcx, P: Printer<'tcx>> Print<'tcx, P> for &'tcx ty::List<ty::PolyExistentialPredicate<'tcx>> {
+impl<'tcx, P: Printer<'tcx>> Print<P> for &'tcx ty::List<ty::PolyExistentialPredicate<'tcx>> {
     fn print(&self, p: &mut P) -> Result<(), PrintError> {
         p.print_dyn_existential(self)
     }
 }
 
-impl<'tcx, P: Printer<'tcx>> Print<'tcx, P> for ty::Const<'tcx> {
+impl<'tcx, P: Printer<'tcx>> Print<P> for ty::Const<'tcx> {
     fn print(&self, p: &mut P) -> Result<(), PrintError> {
         p.print_const(*self)
     }
@@ -413,7 +413,7 @@ impl<'tcx, P: Printer<'tcx>> Print<'tcx, P> for ty::Const<'tcx> {
 
 impl<T> rustc_type_ir::ir_print::IrPrint<T> for TyCtxt<'_>
 where
-    T: Copy + for<'a, 'tcx> Lift<TyCtxt<'tcx>, Lifted: Print<'tcx, FmtPrinter<'a, 'tcx>>>,
+    T: Copy + for<'a, 'tcx> Lift<TyCtxt<'tcx>, Lifted: Print<FmtPrinter<'a, 'tcx>>>,
 {
     fn print(t: &T, fmt: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
         ty::tls::with(|tcx| {
diff --git a/compiler/rustc_middle/src/ty/print/pretty.rs b/compiler/rustc_middle/src/ty/print/pretty.rs
index 04d76e4304fe9..daead99b977c1 100644
--- a/compiler/rustc_middle/src/ty/print/pretty.rs
+++ b/compiler/rustc_middle/src/ty/print/pretty.rs
@@ -265,7 +265,7 @@ pub trait PrettyPrinter<'tcx>: Printer<'tcx> + fmt::Write {
 
     fn pretty_print_in_binder<T>(&mut self, value: &ty::Binder<'tcx, T>) -> Result<(), PrintError>
     where
-        T: Print<'tcx, Self> + TypeFoldable<TyCtxt<'tcx>>,
+        T: Print<Self> + TypeFoldable<TyCtxt<'tcx>>,
     {
         value.as_ref().skip_binder().print(self)
     }
@@ -285,7 +285,7 @@ pub trait PrettyPrinter<'tcx>: Printer<'tcx> + fmt::Write {
     /// Prints comma-separated elements.
     fn comma_sep<T>(&mut self, mut elems: impl Iterator<Item = T>) -> Result<(), PrintError>
     where
-        T: Print<'tcx, Self>,
+        T: Print<Self>,
     {
         if let Some(first) = elems.next() {
             first.print(self)?;
@@ -2484,7 +2484,7 @@ impl<'tcx> PrettyPrinter<'tcx> for FmtPrinter<'_, 'tcx> {
 
     fn pretty_print_in_binder<T>(&mut self, value: &ty::Binder<'tcx, T>) -> Result<(), PrintError>
     where
-        T: Print<'tcx, Self> + TypeFoldable<TyCtxt<'tcx>>,
+        T: Print<Self> + TypeFoldable<TyCtxt<'tcx>>,
     {
         self.wrap_binder(value, WrapBinderMode::ForAll, |new_value, this| new_value.print(this))
     }
@@ -2940,18 +2940,18 @@ impl<'tcx> FmtPrinter<'_, 'tcx> {
     }
 }
 
-impl<'tcx, T, P: PrettyPrinter<'tcx>> Print<'tcx, P> for ty::Binder<'tcx, T>
+impl<'tcx, T, P: PrettyPrinter<'tcx>> Print<P> for ty::Binder<'tcx, T>
 where
-    T: Print<'tcx, P> + TypeFoldable<TyCtxt<'tcx>>,
+    T: Print<P> + TypeFoldable<TyCtxt<'tcx>>,
 {
     fn print(&self, p: &mut P) -> Result<(), PrintError> {
         p.pretty_print_in_binder(self)
     }
 }
 
-impl<'tcx, T, P: PrettyPrinter<'tcx>> Print<'tcx, P> for ty::OutlivesPredicate<'tcx, T>
+impl<'tcx, T, P: PrettyPrinter<'tcx>> Print<P> for ty::OutlivesPredicate<'tcx, T>
 where
-    T: Print<'tcx, P>,
+    T: Print<P>,
 {
     fn print(&self, p: &mut P) -> Result<(), PrintError> {
         self.0.print(p)?;
@@ -2970,7 +2970,7 @@ pub struct TraitRefPrintOnlyTraitPath<'tcx>(ty::TraitRef<'tcx>);
 impl<'tcx> rustc_errors::IntoDiagArg for TraitRefPrintOnlyTraitPath<'tcx> {
     fn into_diag_arg(self, path: &mut Option<std::path::PathBuf>) -> rustc_errors::DiagArgValue {
         ty::tls::with(|tcx| {
-            let trait_ref = tcx.short_string(self, path);
+            let trait_ref = tcx.short_string(tcx.lift(self), path);
             rustc_errors::DiagArgValue::Str(std::borrow::Cow::Owned(trait_ref))
         })
     }
@@ -2990,7 +2990,7 @@ pub struct TraitRefPrintSugared<'tcx>(ty::TraitRef<'tcx>);
 impl<'tcx> rustc_errors::IntoDiagArg for TraitRefPrintSugared<'tcx> {
     fn into_diag_arg(self, path: &mut Option<std::path::PathBuf>) -> rustc_errors::DiagArgValue {
         ty::tls::with(|tcx| {
-            let trait_ref = tcx.short_string(self, path);
+            let trait_ref = tcx.short_string(tcx.lift(self), path);
             rustc_errors::DiagArgValue::Str(std::borrow::Cow::Owned(trait_ref))
         })
     }
@@ -3108,7 +3108,7 @@ macro_rules! forward_display_to_print {
 
 macro_rules! define_print {
     (($self:ident, $p:ident): $($ty:ty $print:block)+) => {
-        $(impl<'tcx, P: PrettyPrinter<'tcx>> Print<'tcx, P> for $ty {
+        $(impl<'tcx, P: PrettyPrinter<'tcx>> Print<P> for $ty {
             fn print(&$self, $p: &mut P) -> Result<(), PrintError> {
                 let _: () = $print;
                 Ok(())
diff --git a/compiler/rustc_symbol_mangling/src/legacy.rs b/compiler/rustc_symbol_mangling/src/legacy.rs
index 9386c913a8036..3466eb2f3a5aa 100644
--- a/compiler/rustc_symbol_mangling/src/legacy.rs
+++ b/compiler/rustc_symbol_mangling/src/legacy.rs
@@ -480,7 +480,7 @@ impl<'tcx> PrettyPrinter<'tcx> for LegacySymbolMangler<'tcx> {
     // Identical to `PrettyPrinter::comma_sep` except there is no space after each comma.
     fn comma_sep<T>(&mut self, mut elems: impl Iterator<Item = T>) -> Result<(), PrintError>
     where
-        T: Print<'tcx, Self>,
+        T: Print<Self>,
     {
         if let Some(first) = elems.next() {
             first.print(self)?;
diff --git a/compiler/rustc_trait_selection/src/error_reporting/infer/nice_region_error/placeholder_error.rs b/compiler/rustc_trait_selection/src/error_reporting/infer/nice_region_error/placeholder_error.rs
index 50dbae0a05d6f..9cf016019bb09 100644
--- a/compiler/rustc_trait_selection/src/error_reporting/infer/nice_region_error/placeholder_error.rs
+++ b/compiler/rustc_trait_selection/src/error_reporting/infer/nice_region_error/placeholder_error.rs
@@ -28,7 +28,7 @@ pub(crate) struct Highlighted<'tcx, T> {
 
 impl<'tcx, T> IntoDiagArg for Highlighted<'tcx, T>
 where
-    T: for<'a> Print<'tcx, FmtPrinter<'a, 'tcx>>,
+    T: for<'a> Print<FmtPrinter<'a, 'tcx>>,
 {
     fn into_diag_arg(self, _: &mut Option<std::path::PathBuf>) -> rustc_errors::DiagArgValue {
         rustc_errors::DiagArgValue::Str(self.to_string().into())
@@ -43,7 +43,7 @@ impl<'tcx, T> Highlighted<'tcx, T> {
 
 impl<'tcx, T> fmt::Display for Highlighted<'tcx, T>
 where
-    T: for<'a> Print<'tcx, FmtPrinter<'a, 'tcx>>,
+    T: for<'a> Print<FmtPrinter<'a, 'tcx>>,
 {
     fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
         let mut p = ty::print::FmtPrinter::new(self.tcx, self.ns);
diff --git a/compiler/rustc_trait_selection/src/error_reporting/traits/overflow.rs b/compiler/rustc_trait_selection/src/error_reporting/traits/overflow.rs
index a543f549bdae7..0e45df45049b0 100644
--- a/compiler/rustc_trait_selection/src/error_reporting/traits/overflow.rs
+++ b/compiler/rustc_trait_selection/src/error_reporting/traits/overflow.rs
@@ -60,7 +60,7 @@ impl<'a, 'tcx> TypeErrCtxt<'a, 'tcx> {
     ) -> Diag<'a> {
         fn with_short_path<'tcx, T>(tcx: TyCtxt<'tcx>, value: T) -> String
         where
-            T: fmt::Display + Print<'tcx, FmtPrinter<'tcx, 'tcx>>,
+            T: fmt::Display + for<'b> Print<FmtPrinter<'b, 'tcx>>,
         {
             let s = value.to_string();
             if s.len() > 50 {
diff --git a/tests/ui/traits/next-solver/alias-relate/transitive-inference.rs b/tests/ui/traits/next-solver/alias-relate/transitive-inference.rs
new file mode 100644
index 0000000000000..207cf71c0b3a4
--- /dev/null
+++ b/tests/ui/traits/next-solver/alias-relate/transitive-inference.rs
@@ -0,0 +1,42 @@
+//@ revisions: old next
+//@[next] compile-flags: -Znext-solver=globally
+//@ ignore-compare-mode-next-solver (explicit revisions)
+//@ check-pass
+// Regression test for trait-system-refactor-initiative#7. This test
+// would error if we were to rely on lazy normalization here.
+//
+// We eagerly normalize the associated types, here, causing this to
+// compile.
+
+use std::marker::PhantomData;
+
+#[derive(Default)]
+struct Foo<T, U>(PhantomData<(T, U)>);
+
+trait Trait {
+    type Assoc;
+
+    fn to_assoc(self) -> Self::Assoc;
+}
+
+impl Trait for Foo<u32, i32> {
+    type Assoc = Foo<u32, i32>;
+    fn to_assoc(self) -> Self::Assoc {
+        Foo(PhantomData)
+    }
+}
+impl Trait for Foo<i32, u32> {
+    type Assoc = Foo<i32, u32>;
+    fn to_assoc(self) -> Self::Assoc {
+        Foo(PhantomData)
+    }
+}
+
+#[allow(unused_assignments)]
+fn main() {
+    let mut x: Foo<_, _> = Default::default();
+    let mut assoc = x.to_assoc();
+    assoc = Foo::<u32, _>(PhantomData);
+    assoc = Foo::<_, i32>(PhantomData);
+    x = assoc;
+}