Proof of `Incomparability is symmetric and irreflexive`
groundedproofs/Lax825442Proofs/IncomparableProperties.lean · lax-825442
What this proof establishes
no assumptions
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
Swap the two nonbounds for symmetry. For irreflexivity, contradict a self nonbound with the monotone identity bounding function.