Theorem confun2

Description: Confun simplified to two propositions. (Contributed by Jarvin Udandy, 6-Sep-2020)

	Ref	Expression
Hypotheses	confun2.1	|- ( ps -> ph )
	confun2.2	|- ( ps -> -. ( ps -> ( ps /\ -. ps ) ) )
	confun2.3	|- ( ( ps -> ph ) -> ( ( ps -> ph ) -> ph ) )
Assertion	confun2	|- ( ps -> ( -. ( ps -> ( ps /\ -. ps ) ) <-> ( ps -> ph ) ) )

Proof

Step	Hyp	Ref	Expression
1		confun2.1	|- ( ps -> ph )
2		confun2.2	|- ( ps -> -. ( ps -> ( ps /\ -. ps ) ) )
3		confun2.3	|- ( ( ps -> ph ) -> ( ( ps -> ph ) -> ph ) )
4	1 1 2 3	confun	|- ( ps -> ( -. ( ps -> ( ps /\ -. ps ) ) <-> ( ps -> ph ) ) )