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2 commits

Author SHA1 Message Date
Joachim Breitner
b5555052bd
feat: T.ctor.elim single-constructor cases function (#9952)
This PR adds “non-branching case statements”: For each inductive
constructor `T.con` this adds a function `T.con.with` that is similar
`T.casesOn`, but has only one arm (the one for `con`), and an additional
`t.toCtorIdx = 12` assumption.

For example:
```lean
inductive Vec (α : Type) : Nat → Type where
  | nil : Vec α 0
  | cons {n} : α → Vec α n → Vec α (n + 1)

/--
info: @[reducible] protected def Vec.cons.elim.{u} : {α : Type} →
  {motive : (a : Nat) → Vec α a → Sort u} →
    {a : Nat} →
      (t : Vec α a) →
        t.ctorIdx = 1 → ({n : Nat} → (a : α) → (a_1 : Vec α n) → motive (n + 1) (Vec.cons a a_1)) → motive a t
-/
#guard_msgs in
#print sig Vec.cons.elim
```

This is a building block for non-quadratic implementations of `BEq` and
`DecidableEq` etc.

Builds on top of #9951.

The compiled code for a these functions could presumably, without
branching on the inductive value, directly access the fields. Achieving
this optimization (and achieving it without a quadratic compilation
cost) is not in scope for this PR.
2025-08-27 09:40:31 +00:00
ammkrn
102e957bb5 feat: support proofs in deriving DecidableEq
The derive handler for `DecidableEq` does not currently support proofs
in constructor arguments/structure fields. For example, deriving
`DecidableEq` for `Fin n` will fail, because of the field `isLt`. This
change checks whether the elements being tested are proofs, and if so,
changes the equality proof to just `rfl`.
2022-05-30 07:36:30 -07:00