Theorem pm2.24 611

Description: Theorem *2.24 of [WhiteheadRussell] p. 104. (Contributed by NM, 3-Jan-2005.)

Assertion

Ref	Expression
pm2.24	|- ( ph -> ( -. ph -> ps ) )

Proof of Theorem pm2.24

Step	Hyp	Ref	Expression
1		pm2.21 607	. 2 |- ( -. ph -> ( ph -> ps ) )
2	1	com12 30	1 |- ( ph -> ( -. ph -> ps ) )

Syntax hints:   -. wn 3   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-in2 605

This theorem is referenced by:  pm2.24d  612  pm2.53  712  pm2.82  802  pm4.81dc  894  dedlema  954  alexim  1625  eqneqall  2319  elnelall  2416  sotritric  4254  ltxrlt  7854  zltnle  9124  elfzonlteqm1  10018  qltnle  10054  hashfzp1  10602  dfgcd2  11738  bj-fast  13123