Theorem jaob 712

Description: Disjunction of antecedents. Compare Theorem *4.77 of [WhiteheadRussell] p. 121. Alias of ax-io 711. (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 711	1 |- ( ( ( ph \/ ch ) -> ps ) <-> ( ( ph -> ps ) /\ ( ch -> ps ) ) )

Syntax hints:   -> wi 4   /\ wa 104   <-> wb 105   \/ wo 710

This theorem was proved from axioms:  ax-io 711

This theorem is referenced by:  olc  713  orc  714  pm3.44  717  pm4.77  801  pm5.53  804  unss  3347  ralunb  3354  intun  3916  intpr  3917  relop  4829  indstr  9716  algcvgblem  12404  sqrt2irr  12517  2sqlem6  15630  bj-inf2vnlem1  15943