Theorem dfifp6 1386

Description: Alternate definition of the conditional operator for propositions. (Contributed by BJ, 2-Oct-2019.)

Assertion

Ref	Expression
dfifp6

Proof of Theorem dfifp6

Step	Hyp	Ref	Expression
1		df-ifp 1381	. 2
2		ancom 450	. . . 4
3		annim 425	. . . 4
4	2, 3	bitri 249	. . 3
5	4	orbi2i 519	. 2
6	1, 5	bitri 249	1

Syntax hints:  -.wn 3  ->wi 4  <->wb 184  \/wo 368  /\wa 369  if-wif 1380

This theorem is referenced by:  dfifp7  1387

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 185  df-or 370  df-an 371  df-ifp 1381