lean4-htt/tests/lean/run/9474.lean
Sebastian Graf 9a0c1ab2d0
feat: Simpler first-order implementation for pure SPreds (#9841)
This PR migrates the ⌜p⌝ notation for embedding pure p : Prop into SPred
σs to expand into a simple, first-order expression SPred.pure p that can
be supported by e-matching in grind.

Doing so deprives ⌜p⌝ notation of its idiom-bracket-like support for
#selector and ‹Nat›ₛ syntax which is thus removed.
2025-08-11 08:32:16 +00:00

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import Std.Tactic.Do
open Std.Do
set_option mvcgen.warning false
noncomputable def setZeroHead : StateM (List Nat) Unit := do
modify fun _ => [1, 0, 1, 2, 3, 4, 5]
pure ()
modify fun s => s.tail
pure ()
theorem setZeroHead_spec :
⦃⌜True⌝⦄
setZeroHead
⦃⇓ _ gns => ⌜∃ ns', gns = 0 :: ns'⌝⦄ := by
mvcgen [setZeroHead] -- should mintro through let/have bindings
mleave
rename_i t
exists t.2.tail