lean4-htt/tests/elab/bv_inequality.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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import Std.Tactic.BVDecide
open BitVec
theorem ineq_unit_1 (x y : BitVec 64) (h : x ≠ y) : y ≠ x := by
bv_decide
theorem ineq_unit_2 (x y z : BitVec 32) (h1 : x < y) (h2 : y < z) : x < z := by
bv_decide
theorem ineq_unit_2' (x y z : BitVec 32) (h1 : BitVec.ult x y) (h2 : y < z) : BitVec.ult x z := by
bv_decide
theorem ineq_unit_3 (x y z : BitVec 32) (h1 : x ≤ y) (h2 : y ≤ z) : x ≤ z := by
bv_decide
theorem ineq_unit_3' (x y z : BitVec 32) (h1 : BitVec.ule x y) (h2 : y ≤ z) : BitVec.ule x z := by
bv_decide
theorem ineq_unit_4 (x y z : BitVec 32) (h1 : x > y) (h2 : y > z) : x > z := by
bv_decide
theorem ineq_unit_5 (x y z : BitVec 32) (h1 : x ≥ y) (h2 : y ≥ z) : x ≥ z := by
bv_decide
theorem ineq_unit_6 (x y z : BitVec 32) (h1 : BitVec.slt x y) (h2 : BitVec.slt y z) : BitVec.slt x z := by
bv_decide
theorem ineq_unit_7 (x y z : BitVec 32) (h1 : BitVec.sle x y) (h2 : BitVec.sle y z) : BitVec.sle x z := by
bv_decide