Theorem com34 77

Description: Commutation of antecedents. Swap 3rd and 4th. (Contributed by NM, 25-Apr-1994.)

Hypothesis

Ref	Expression
com4.1	|- (ph -> (ps -> (ch -> (th -> ta))))

Assertion

Ref	Expression
com34	|- (ph -> (ps -> (th -> (ch -> ta))))

Proof of Theorem com34

Step	Hyp	Ref	Expression
1		com4.1	. 2 |- (ph -> (ps -> (ch -> (th -> ta))))
2		pm2.04 76	. 2 |- ((ch -> (th -> ta)) -> (th -> (ch -> ta)))
3	1, 2	syl6 29	1 |- (ph -> (ps -> (th -> (ch -> ta))))

Syntax hints:   -> wi 4

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

This theorem is referenced by:  com4l  78  com35  84  3an1rs  1163  rspct  2948  sfintfin  4532  funssres  5144  f1o2d  5727  fnfrec  6320