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2 commits

Author SHA1 Message Date
Leonardo de Moura
0173444d24
feat: heterogeneous contructor injectivity in grind (#11491)
This PR implements heterogeneous contructor injectivity in `grind`.

Example:
```lean
opaque double : Nat → Nat

inductive Parity : Nat -> Type
  | even (n) : Parity (double n)
  | odd  (n) : Parity (Nat.succ (double n))

opaque q : Nat → Nat → Prop
axiom qax : q a b → double a = double b
attribute [grind →] qax

example
  (motive : (x : Nat) → Parity x → Sort u_1)
  (h_2 : (j : Nat) → motive (double j) (Parity.even j))
  (j n : Nat)
  (heq_1 : q j n) -- Implies that `double j = double n`
  (heq_2 : Parity.even n ≍ Parity.even j):
  h_2 n ≍ h_2 j := by
grind
```

Closes #11449
2025-12-03 04:01:19 +00:00
Joachim Breitner
edf804c70f
feat: heterogeneous noConfusion (#11474)
This PR generalizes the `noConfusion` constructions to heterogeneous
equalities (assuming propositional equalities between the indices). This
lays ground work for better support for applying injection to
heterogeneous equalities in grind.

The `Meta.mkNoConfusion` app builder shields most of the code from these
changes.

Since the per-constructor noConfusion principles are now more
expressive, `Meta.mkNoConfusion` no longer uses the general one.

In `Init.Prelude` some proofs are more pedestrian because `injection`
now needs a bit more machinery.

This is a breaking change for whoever uses the `noConfusion` principle
manually and explicitly for a type with indices.

Fixes #11450.
2025-12-02 15:19:47 +00:00