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Theorem afvnufveq 30930
 Description: The value of the alternative function at a set as argument equals the function's value at this argument. (Contributed by Alexander van der Vekens, 25-May-2017.)
Assertion
Ref Expression
afvnufveq

Proof of Theorem afvnufveq
StepHypRef Expression
1 afvfundmfveq 30921 . . . 4
21con3i 135 . . 3
3 afvnfundmuv 30922 . . 3
42, 3syl 16 . 2
54necon1ai 2684 1
 Colors of variables: wff setvar class Syntax hints:  -.wn 3  ->wi 4  =wceq 1370  =/=wne 2648   cvv 3081  `cfv 5537   wdfat 30894   cafv 30895 This theorem is referenced by:  afvvfveq  30931  afvfv0bi  30935  aovnuoveq  30974 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671  ax-6 1710  ax-7 1730  ax-10 1777  ax-11 1782  ax-12 1794  ax-13 1955  ax-ext 2432 This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-tru 1373  df-ex 1588  df-nf 1591  df-sb 1703  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2604  df-ne 2650  df-rab 2809  df-v 3083  df-un 3447  df-if 3906  df-fv 5545  df-afv 30898
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