Theorem 3com12d 15347

Description: Commutation in consequent. Swap 1st and 2nd.

Hypothesis

Ref	Expression
3com12d.1	|- (ph -> (ps /\ ch /\ th))

Assertion

Ref	Expression
3com12d	|- (ph -> (ch /\ ps /\ th))

Proof of Theorem 3com12d

Step	Hyp	Ref	Expression
1		3com12d.1	. 2 |- (ph -> (ps /\ ch /\ th))
2		id 73	. . 3 |- ((ch /\ ps /\ th) -> (ch /\ ps /\ th))
3	2	3com12 1071	. 2 |- ((ps /\ ch /\ th) -> (ch /\ ps /\ th))
4	1, 3	syl 12	1 |- (ph -> (ch /\ ps /\ th))

Syntax hints:   -> wi 3   /\ w3a 858

This theorem is referenced by:  filssufillem 15570  fmfnfm 15598

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 164  df-an 242  df-3an 860

Copyright terms: Public domain