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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 (((𝜑𝜒) → 𝜓) ↔ ((𝜑𝜓) ∧ (𝜒𝜓)))

Proof of Theorem jaob
StepHypRef Expression
1 ax-io 709 1 (((𝜑𝜒) → 𝜓) ↔ ((𝜑𝜓) ∧ (𝜒𝜓)))
Colors of variables: wff set class
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  3309  ralunb  3316  intun  3875  intpr  3876  relop  4777  indstr  9592  algcvgblem  12048  sqrt2irr  12161  2sqlem6  14437  bj-inf2vnlem1  14692
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