Theorem aisbbisfaisf 41069

Description: Given a is equivalent to b, b is equivalent to F. there exists a proof for a is equivalent to F. (Contributed by Jarvin Udandy, 30-Aug-2016.)

Hypotheses

Ref	Expression
aisbbisfaisf.1	|- ( ph <-> ps )
aisbbisfaisf.2	|- ( ps <-> F. )

Assertion

Ref	Expression
aisbbisfaisf	|- ( ph <-> F. )

Proof of Theorem aisbbisfaisf

Step	Hyp	Ref	Expression
1		aisbbisfaisf.1	. 2 |- ( ph <-> ps )
2		aisbbisfaisf.2	. 2 |- ( ps <-> F. )
3	1, 2	bitri 264	1 |- ( ph <-> F. )

Syntax hints:   <-> wb 196   F. wfal 1488

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197

This theorem is referenced by:  mdandysum2p2e4  41166