Theorem jaob 710

Description: Disjunction of antecedents. Compare Theorem *4.77 of [WhiteheadRussell] p. 121. Alias of ax-io 709. (Contributed by NM, 30-May-1994.) (Revised by Mario Carneiro, 31-Jan-2015.)

Assertion

Ref	Expression
jaob	|- ( ( ( ph \/ ch ) -> ps ) <-> ( ( ph -> ps ) /\ ( ch -> ps ) ) )

Proof of Theorem jaob

Step	Hyp	Ref	Expression
1		ax-io 709	1 |- ( ( ( ph \/ ch ) -> ps ) <-> ( ( ph -> ps ) /\ ( ch -> ps ) ) )

Syntax hints:   -> wi 4   /\ wa 104   <-> wb 105   \/ wo 708

This theorem was proved from axioms:  ax-io 709

This theorem is referenced by:  olc  711  orc  712  pm3.44  715  pm4.77  799  pm5.53  802  unss  3311  ralunb  3318  intun  3877  intpr  3878  relop  4779  indstr  9595  algcvgblem  12051  sqrt2irr  12164  2sqlem6  14552  bj-inf2vnlem1  14807