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Theorem pm4.77 788
Description: Theorem *4.77 of [WhiteheadRussell] p. 121. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm4.77 (((𝜓𝜑) ∧ (𝜒𝜑)) ↔ ((𝜓𝜒) → 𝜑))

Proof of Theorem pm4.77
StepHypRef Expression
1 jaob 699 . 2 (((𝜓𝜒) → 𝜑) ↔ ((𝜓𝜑) ∧ (𝜒𝜑)))
21bicomi 131 1 (((𝜓𝜑) ∧ (𝜒𝜑)) ↔ ((𝜓𝜒) → 𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103  wb 104  wo 697
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698
This theorem depends on definitions:  df-bi 116
This theorem is referenced by: (None)
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