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Theorem ancomst 468
Description: Closed form of ancoms 462. (Contributed by Alan Sare, 31-Dec-2011.)
Assertion
Ref Expression
ancomst (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))

Proof of Theorem ancomst
StepHypRef Expression
1 ancom 464 . 2 ((𝜑𝜓) ↔ (𝜓𝜑))
21imbi1i 353 1 (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 209  wa 399
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 210  df-an 400
This theorem is referenced by:  sbcom2  2169  ralcom  3345  ralcomf  3348  ovolgelb  24073  itg2leub  24327  nmoubi  28544  wl-sbcom2d  34862  ifpidg  40031  undmrnresiss  40136  ntrneiiso  40629  expcomdg  41042
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