Proof of `Strict functional boundedness is a strict partial order`
groundedproofs/Lax825442Proofs/StrictlyBoundsOrder.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
A strict self-bound contradicts itself. For transitivity, compose the forward bounds; a reverse bound would contradict the first strict comparison.