Theorem jaob 682

Description: Disjunction of antecedents. Compare Theorem *4.77 of [WhiteheadRussell] p. 121. Alias of ax-io 681. (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 681	1 |- ( ( ( ph \/ ch ) -> ps ) <-> ( ( ph -> ps ) /\ ( ch -> ps ) ) )

Syntax hints:   -> wi 4   /\ wa 103   <-> wb 104   \/ wo 680

This theorem was proved from axioms:  ax-io 681

This theorem is referenced by:  olc  683  orc  684  pm3.44  687  pm4.77  771  pm5.53  774  unss  3216  ralunb  3223  intun  3768  intpr  3769  relop  4649  indstr  9290  algcvgblem  11576  sqrt2irr  11686  bj-inf2vnlem1  12860