Theorem pm3.22 438

Description: Theorem *3.22 of [WhiteheadRussell] p. 111.

Assertion

Ref	Expression
pm3.22	|- ((ph /\ ps) -> (ps /\ ph))

Proof of Theorem pm3.22

Step	Hyp	Ref	Expression
1		ancom 435	. 2 |- ((ph /\ ps) <-> (ps /\ ph))
2	1	biimp 151	1 |- ((ph /\ ps) -> (ps /\ ph))

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  eupickb 1435  divdivdivt 5785  grpidinvlem3 8050  atoml 10309  cmphmp 10521  mslb1 10629  iintlem1 10632

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

This theorem depends on definitions:  df-bi 147  df-an 225

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