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Theorem retbwax3 1688
Description: tbw-ax3 1667 rederived from merco1 1678. (Contributed by Anthony Hart, 17-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
retbwax3 (((𝜑𝜓) → 𝜑) → 𝜑)

Proof of Theorem retbwax3
StepHypRef Expression
1 retbwax2 1681 . 2 (𝜑 → (𝜑𝜑))
2 merco1lem7 1687 . 2 ((𝜑 → (𝜑𝜑)) → (((𝜑𝜓) → 𝜑) → 𝜑))
31, 2ax-mp 5 1 (((𝜑𝜓) → 𝜑) → 𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4
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 197  df-tru 1526  df-fal 1529
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator