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Theorem ancomst 465
Description: Closed form of ancoms 459. (Contributed by Alan Sare, 31-Dec-2011.)
Assertion
Ref Expression
ancomst (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))

Proof of Theorem ancomst
StepHypRef Expression
1 ancom 461 . 2 ((𝜑𝜓) ↔ (𝜓𝜑))
21imbi1i 351 1 (((𝜑𝜓) → 𝜒) ↔ ((𝜓𝜑) → 𝜒))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 207  wa 396
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 208  df-an 397
This theorem is referenced by:  sbcom2  2158  ralcom  3351  ralcomf  3354  ovolgelb  24008  itg2leub  24262  nmoubi  28476  wl-sbcom2d  34678  ifpidg  39735  undmrnresiss  39842  ntrneiiso  40319  expcomdg  40711
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