lean4-htt/tests/lean/mutwf1.lean
Leonardo de Moura f917f811c8
chore: cleanup #5167 workarounds after update stage0 (#5175)
PR #5167 implemented RFC #5046, but it required several workarounds due
to staging issues. This PR cleans up these workarounds.
2024-08-26 17:53:30 +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; decide
· apply Prod.Lex.right; 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