lean4-htt/tests/lean/run/wfEqns2.lean
2024-03-13 07:56:27 +00:00

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Text

import Lean
open Lean
open Lean.Meta
def tst (declName : Name) : MetaM Unit := do
IO.println (← getUnfoldEqnFor? declName)
mutual
def g (i j : Nat) : Nat :=
if i < 5 then 0 else
match j with
| Nat.zero => 1
| Nat.succ j => h i j
termination_by (i + j, 0)
decreasing_by
simp_wf
· apply Prod.Lex.left
apply Nat.lt_succ_self
def h (i j : Nat) : Nat :=
match j with
| 0 => g i 0
| Nat.succ j => g i j
termination_by (i + j, 1)
decreasing_by
all_goals simp_wf
· apply Prod.Lex.right
decide
· apply Prod.Lex.left
apply Nat.lt_succ_self
end
#eval tst ``g
#check g.eq_1
#check g.eq_2
#check g.def
#eval tst ``h
#check h.eq_1
#check h.eq_2
#check h.def