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Theorem ancomst 468
Description: Closed form of ancoms 469. (Contributed by Alan Sare, 31-Dec-2011.)
Assertion
Ref Expression
ancomst (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))

Proof of Theorem ancomst
StepHypRef Expression
1 ancom 466 . 2 ((𝜑𝜓) ↔ (𝜓𝜑))
21imbi1i 339 1 (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 196  wa 384
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-an 386
This theorem is referenced by:  sbcom2  2444  ralcomf  3090  fvn0ssdmfun  6316  ovolgelb  23188  itg2leub  23441  nmoubi  27515  wl-sbcom2d  33015  ifpidg  37356  undmrnresiss  37430  ntrneiiso  37910  expcomdg  38227
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