diff --git a/src/Lean/Meta/Tactic/Grind/Diseq.lean b/src/Lean/Meta/Tactic/Grind/Diseq.lean
index a6a0c88499..081e47df96 100644
--- a/src/Lean/Meta/Tactic/Grind/Diseq.lean
+++ b/src/Lean/Meta/Tactic/Grind/Diseq.lean
@@ -36,14 +36,13 @@ def isDiseq (a b : Expr) : GoalM Bool := do
   return (← getDiseqFor? a b).isSome
 
 /--
-Returns a proof for `true` if `a` and `b` are known to be disequal.
-See `getDiseqFor?`
+Given an equality `eq` of the form `c = d` s.t. `eq` is `False`, and
+`a = b` is congruent to `c = d`, return a proof for `a ≠ b`
 -/
-def mkDiseqProof? (a b : Expr) : GoalM (Option Expr) := do
-  let some eq ← getDiseqFor? a b | return none
+def mkDiseqProofUsing (a b : Expr) (eq : Expr) : GoalM Expr := do
   let_expr f@Eq α c d := eq | unreachable!
   let u := f.constLevels!
-  let h ← mkOfEqFalse (← mkEqFalseProof eq)
+  let h := mkOfEqFalseCore eq (← mkEqFalseProof eq)
   let (c, d, h) ← if (← isEqv a c <&&> isEqv b d) then
     pure (c, d, h)
   else
@@ -59,6 +58,14 @@ def mkDiseqProof? (a b : Expr) : GoalM (Option Expr) := do
   else
     return mkApp6 (mkConst ``Grind.ne_of_ne_of_eq_right u) α b a d (← mkEqProof b d) h
 
+/--
+Returns a proof for `true` if `a` and `b` are known to be disequal.
+See `getDiseqFor?`
+-/
+def mkDiseqProof? (a b : Expr) : GoalM (Option Expr) := do
+  let some eq ← getDiseqFor? a b | return none
+  mkDiseqProofUsing a b eq
+
 def mkDiseqProof (a b : Expr) : GoalM Expr := do
  let some h ← mkDiseqProof? a b
    | throwError "internal `grind` error, failed to build disequality proof for{indentExpr a}\nand{indentExpr b}"
diff --git a/src/Lean/Meta/Tactic/Grind/Propagate.lean b/src/Lean/Meta/Tactic/Grind/Propagate.lean
index e51e36ab6c..209faa42b0 100644
--- a/src/Lean/Meta/Tactic/Grind/Propagate.lean
+++ b/src/Lean/Meta/Tactic/Grind/Propagate.lean
@@ -119,11 +119,17 @@ builtin_grind_propagator propagateNotDown ↓Not := fun e => do
   else if (← isEqv e a) then
     closeGoal <| mkApp2 (mkConst ``Grind.false_of_not_eq_self) a (← mkEqProof e a)
 
-def propagateBoolDiseq (a : Expr) : GoalM Unit := do
-  if let some h ← mkDiseqProof? a (← getBoolFalseExpr) then
-    pushEqBoolTrue a <| mkApp2 (mkConst ``Grind.Bool.eq_true_of_not_eq_false') a h
-  if let some h ← mkDiseqProof? a (← getBoolTrueExpr) then
-    pushEqBoolFalse a <| mkApp2 (mkConst ``Grind.Bool.eq_false_of_not_eq_true') a h
+def propagateBoolDiseq (eq : Expr) (a b : Expr) : GoalM Unit := do
+  let tt ← getBoolTrueExpr
+  let ff ← getBoolFalseExpr
+  if (← isEqv b ff) then
+    pushEqBoolTrue a <| mkApp2 (mkConst ``Grind.Bool.eq_true_of_not_eq_false') a (← mkDiseqProofUsing a ff eq)
+  else if (← isEqv b tt) then
+    pushEqBoolFalse a <| mkApp2 (mkConst ``Grind.Bool.eq_false_of_not_eq_true') a (← mkDiseqProofUsing a tt eq)
+  else if (← isEqv a ff) then
+    pushEqBoolTrue b <| mkApp2 (mkConst ``Grind.Bool.eq_true_of_not_eq_false') b (← mkDiseqProofUsing b ff eq)
+  else if (← isEqv a tt) then
+    pushEqBoolFalse b <| mkApp2 (mkConst ``Grind.Bool.eq_false_of_not_eq_true') b (← mkDiseqProofUsing b tt eq)
 
 /-- Propagates `Eq` upwards -/
 builtin_grind_propagator propagateEqUp ↑Eq := fun e => do
@@ -136,8 +142,7 @@ builtin_grind_propagator propagateEqUp ↑Eq := fun e => do
     pushEqTrue e <| mkEqTrueCore e (← mkEqProof a b)
   if α.isConstOf ``Bool then
     if (← isEqFalse e) then
-      propagateBoolDiseq a
-      propagateBoolDiseq b
+      propagateBoolDiseq e a b
   let aRoot ← getRootENode a
   let bRoot ← getRootENode b
   if aRoot.ctor && bRoot.ctor && aRoot.self.getAppFn != bRoot.self.getAppFn then
@@ -157,8 +162,7 @@ builtin_grind_propagator propagateEqDown ↓Eq := fun e => do
   else if (← isEqFalse e) then
     let_expr Eq α lhs rhs := e | return ()
     if α.isConstOf ``Bool then
-      propagateBoolDiseq lhs
-      propagateBoolDiseq rhs
+      propagateBoolDiseq e lhs rhs
     propagateCutsatDiseq lhs rhs
     propagateCommRingDiseq lhs rhs
     propagateLinarithDiseq lhs rhs