Theorem hadrot 1390

Description: Rotation law for triple XOR. (Contributed by Mario Carneiro, 4-Sep-2016.)

Assertion

Ref	Expression
hadrot	|- (hadd(ph, ps, ch) <-> hadd(ps, ch, ph))

Proof of Theorem hadrot

Step	Hyp	Ref	Expression
1		hadcoma 1388	. 2 |- (hadd(ph, ps, ch) <-> hadd(ps, ph, ch))
2		hadcomb 1389	. 2 |- (hadd(ps, ph, ch) <-> hadd(ps, ch, ph))
3	1, 2	bitri 240	1 |- (hadd(ph, ps, ch) <-> hadd(ps, ch, ph))

Syntax hints:   <-> wb 176  haddwhad 1378

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 177  df-xor 1305  df-had 1380

This theorem is referenced by: (None)