Theorem pm3.35 359

Description: Conjunctive detachment. Theorem *3.35 of [WhiteheadRussell] p. 112.

Assertion

Ref	Expression
pm3.35	|- ((ph /\ (ph -> ps)) -> ps)

Proof of Theorem pm3.35

Step	Hyp	Ref	Expression
1		pm2.27 62	. 2 |- (ph -> ((ph -> ps) -> ps))
2	1	imp 350	1 |- ((ph /\ (ph -> ps)) -> ps)

Syntax hints:   -> wi 3   /\ wa 223

This theorem is referenced by:  abai 481  ssiun 2596  aceq5 4750  ac5b 4763  fsum1ps 7018  uninqs 10436  cmphmp 10507

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

Copyright terms: Public domain