lean4-htt/tests/lean/run/congrReserved.lean
2025-05-27 19:22:57 +00:00

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import Lean
/--
info: Vector.extract.hcongr_5.{u_1} (α α' : Type u_1) (e_1 : α = α') (n n' : Nat) (e_2 : n = n') (xs : Vector α n)
(xs' : Vector α' n') (e_3 : xs ≍ xs') (start start' : Nat) (e_4 : start = start') (stop stop' : Nat)
(e_5 : stop = stop') : xs.extract start stop ≍ xs'.extract start' stop'
-/
#guard_msgs in
#check Vector.extract.hcongr_5
/--
info: Vector.extract.congr_simp.{u_1} {α : Type u_1} {n : Nat} (xs xs✝ : Vector α n) (e_xs : xs = xs✝) (start stop : Nat) :
xs.extract start stop = xs✝.extract start stop
-/
#guard_msgs in
#check Vector.extract.congr_simp
open Lean Meta
/--
info: @Vector.extract.congr_simp
-/
#guard_msgs in
run_meta do
let some thm1 ← mkCongrSimpForConst? ``Vector.extract [0] | unreachable!
IO.println (← ppExpr thm1.proof)
let some thm2 ← mkCongrSimp? (mkConst ``Vector.extract [0]) | unreachable!
assert! thm1.type == thm2.type
assert! thm1.argKinds == thm2.argKinds
/--
info: Vector.extract.hcongr_5
-/
#guard_msgs in
run_meta do
let some thm1 ← mkHCongrWithArityForConst? ``Vector.extract [0] 5 | unreachable!
IO.println (← ppExpr thm1.proof)
let thm2 ← mkHCongrWithArity (mkConst ``Vector.extract [0]) 5
assert! thm1.type == thm2.type
assert! thm1.argKinds == thm2.argKinds