Theorem impcomd

Description: Importation deduction with commuted antecedents. (Contributed by Peter Mazsa, 24-Sep-2022) (Proof shortened by Wolf Lammen, 22-Oct-2022)

	Ref	Expression
Hypothesis	impd.1	|- ( ph -> ( ps -> ( ch -> th ) ) )
Assertion	impcomd	|- ( ph -> ( ( ch /\ ps ) -> th ) )

Proof

Step	Hyp	Ref	Expression
1		impd.1	|- ( ph -> ( ps -> ( ch -> th ) ) )
2	1	com23	|- ( ph -> ( ch -> ( ps -> th ) ) )
3	2	impd	|- ( ph -> ( ( ch /\ ps ) -> th ) )