Theorem bj-nnclavci

Description: Inference associated with bj-nnclavc . Its associated inference is an instance of syl . Notice the non-intuitionistic proof from peirce and syl . (Contributed by BJ, 30-Jul-2024)

	Ref	Expression
Hypothesis	bj-nnclavci.1	|- ( ph -> ps )
Assertion	bj-nnclavci	|- ( ( ( ph -> ps ) -> ph ) -> ps )

Proof

Step	Hyp	Ref	Expression
1		bj-nnclavci.1	|- ( ph -> ps )
2		bj-nnclavc	|- ( ( ph -> ps ) -> ( ( ( ph -> ps ) -> ph ) -> ps ) )
3	1 2	ax-mp	|- ( ( ( ph -> ps ) -> ph ) -> ps )