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Theorem bj-imim2ALT 31708
Description: More direct proof of imim2 56. Note that imim2i 16 and imim2d 55 can be proved as usual from this closed form (i.e., using ax-mp 5 and syl 17 respectively). (Contributed by BJ, 19-Jul-2019.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
bj-imim2ALT ((𝜑𝜓) → ((𝜒𝜑) → (𝜒𝜓)))

Proof of Theorem bj-imim2ALT
StepHypRef Expression
1 ax-1 6 . 2 ((𝜑𝜓) → (𝜒 → (𝜑𝜓)))
21a2d 29 1 ((𝜑𝜓) → ((𝜒𝜑) → (𝜒𝜓)))
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
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator