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Theorem pm4.45 1011
Description: Theorem *4.45 of [WhiteheadRussell] p. 119. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm4.45 (𝜑 ↔ (𝜑 ∧ (𝜑𝜓)))

Proof of Theorem pm4.45
StepHypRef Expression
1 orc 885 . 2 (𝜑 → (𝜑𝜓))
21pm4.71i 551 1 (𝜑 ↔ (𝜑 ∧ (𝜑𝜓)))
Colors of variables: wff setvar class
Syntax hints:  wb 197  wa 384  wo 865
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 198  df-an 385  df-or 866
This theorem is referenced by:  dn1  1073
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