lean4-htt/tests/lean/mutwf1.lean
Leonardo de Moura 45475d6434
feat: allow users to disable simpCtorEq simproc (#5167)
`simp only` will not apply this simproc anymore. Users must now write
`simp only [reduceCtorEq]`. See RFC #5046 for motivation.
This PR also renames simproc to `reduceCtorEq`. 

close #5046 


@semorrison A few `simp only ...` tactics will probably break in
Mathlib. Fix: include `reduceCtorEq`.
2024-08-26 13:51:21 +00:00

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Text

namespace Ex1
mutual
def f : Nat → Bool → Nat
| n, true => 2 * f n false
| 0, false => 1
| n, false => n + g n
termination_by n b => (n, if b then 2 else 1)
decreasing_by
· apply Prod.Lex.right; simp -- decide TODO: add `reduceCtorEq` at `clean_wf` after update-stage0
· apply Prod.Lex.right; simp -- decide
def g (n : Nat) : Nat :=
if h : n ≠ 0 then
f (n-1) true
else
n
termination_by (n, 0)
decreasing_by
apply Prod.Lex.left
apply Nat.pred_lt
done -- should fail
end
end Ex1
namespace Ex2
mutual
def f : Nat → Bool → Nat
| n, true => 2 * f n false
| 0, false => 1
| n, false => n + g (n+1) -- Error
termination_by n b => (n, if b then 2 else 1)
def g (n : Nat) : Nat :=
if h : n ≠ 0 then
f (n-1) true
else
n
termination_by (n, 0)
end
end Ex2