Omega builds illegal proof term containing pos_pow_of_pos
bollu opened this issue · comments
Prerequisites
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Description
Consider the MWE (lean playground link here):
/-
application type mismatch
Int.pos_pow_of_pos
argument has type
Int
but function has type
∀ {n : Nat} (m : Nat), 0 < n → 0 < n ^ m
-/
theorem omega_fail
(n : Nat)
(i : Int)
(h2n : (2 : Int) ^ n = ↑((2 : Nat) ^ (n : Nat)))
(hlt : i % 2 ^ n < 2 ^ n) : 2 ^ n ≠ 0 :=
by omega /- No goals -/Omega builds an incorrect proof term for this goal state.
Context
Occurred when proving bitblasting theorems.
Steps to Reproduce
Expected behavior: Omega should succeed without an illegal proof.
Actual behavior: Omega builds an illegal proof term.
Versions
Live lean version: "4.9.0-nightly-2024-05-11"
Additional Information
[Additional information, configuration or data that might be necessary to reproduce the issue]
Impact
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Thanks! Fixed in #4141.