Theorem xorbi12d 1377

Description: Equality property for XOR. (Contributed by Mario Carneiro, 4-Sep-2016.)

Hypotheses

Ref	Expression
xor12d.1
xor12d.2

Assertion

Ref	Expression
xorbi12d

Proof of Theorem xorbi12d

Step	Hyp	Ref	Expression
1		xor12d.1	. . . 4
2		xor12d.2	. . . 4
3	1, 2	bibi12d 321	. . 3
4	3	notbid 294	. 2
5		df-xor 1364	. 2
6		df-xor 1364	. 2
7	4, 5, 6	3bitr4g 288	1

Syntax hints:  -.wn 3  ->wi 4  <->wb 184  \/_wxo 1363

This theorem is referenced by:  hadbi123d  1449  cadbi123d  1450

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-xor 1364