Metamath Proof Explorer

Theorem bj-nnclavc

Description: Commuted form of bj-nnclav . Notice the non-intuitionistic proof from bj-peircei and imim1i . (Contributed by BJ, 30-Jul-2024) A proof which is shorter when compressed uses embantd . (Proof modification is discouraged.)

		Ref	Expression
	Assertion	bj-nnclavc	$⊢ (φ \to ψ) \to (((φ \to ψ) \to φ) \to ψ)$

Proof

Step	Hyp	Ref	Expression
1		bj-nnclav	$⊢ ((φ \to ψ) \to φ) \to ((φ \to ψ) \to ψ)$
2	1	com12	$⊢ (φ \to ψ) \to (((φ \to ψ) \to φ) \to ψ)$