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Proof of `Lift-drop factorisation`

groundedproofs/Lax149335Proofs/Results/GeneralCompleteness.lean · lax-149335

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

By induction on the term. The atomic terms are factorised directly, the functoriality combinators preserve factorisations, and for a composition the inner drop-lift is turned into a lift-drop by the exchange lemma.