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Theorem jaob 699
Description: Disjunction of antecedents. Compare Theorem *4.77 of [WhiteheadRussell] p. 121. Alias of ax-io 698. (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 698 1 (((𝜑𝜒) → 𝜓) ↔ ((𝜑𝜓) ∧ (𝜒𝜓)))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103  wb 104  wo 697
This theorem was proved from axioms:  ax-io 698
This theorem is referenced by:  olc  700  orc  701  pm3.44  704  pm4.77  788  pm5.53  791  unss  3250  ralunb  3257  intun  3802  intpr  3803  relop  4689  indstr  9395  algcvgblem  11737  sqrt2irr  11847  bj-inf2vnlem1  13198
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