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Theorem ancomst 457
Description: Closed form of ancoms 451. (Contributed by Alan Sare, 31-Dec-2011.)
Assertion
Ref Expression
ancomst (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))

Proof of Theorem ancomst
StepHypRef Expression
1 ancom 453 . 2 ((𝜑𝜓) ↔ (𝜓𝜑))
21imbi1i 341 1 (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 198  wa 385
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 199  df-an 386
This theorem is referenced by:  sbcom2  2561  sbcom2OLD  2562  ralcomf  3275  ovolgelb  23585  itg2leub  23839  nmoubi  28144  wl-sbcom2d  33826  ifpidg  38608  undmrnresiss  38681  ntrneiiso  39159  expcomdg  39474
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