Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
8d9d81453b
This PR adds a simple strategy to the (WIP) `grind` tactic. It just
keeps internalizing new theorem instances found by E-matching. The
simple strategy can solve examples such as:
```lean
grind_pattern Array.size_set => Array.set a i v h
grind_pattern Array.get_set_eq => a.set i v h
grind_pattern Array.get_set_ne => (a.set i v hi)[j]
example (as bs : Array α) (v : α)
(i : Nat)
(h₁ : i < as.size)
(h₂ : bs = as.set i v)
: as.size = bs.size := by
grind
example (as bs cs : Array α) (v : α)
(i : Nat)
(h₁ : i < as.size)
(h₂ : bs = as.set i v)
(h₃ : cs = bs)
(h₄ : i ≠ j)
(h₅ : j < cs.size)
(h₆ : j < as.size)
: cs[j] = as[j] := by
grind
opaque R : Nat → Nat → Prop
theorem Rtrans (a b c : Nat) : R a b → R b c → R a c := sorry
grind_pattern Rtrans => R a b, R b c
example : R a b → R b c → R c d → R d e → R a d := by
grind
```
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