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Theorem stoweidlem4 37804
 Description: Lemma for stoweid 37865: a class variable replaces a setvar variable, for constant functions. (Contributed by Glauco Siliprandi, 20-Apr-2017.)
Hypothesis
Ref Expression
stoweidlem4.1
Assertion
Ref Expression
stoweidlem4
Distinct variable groups:   ,,   ,   ,   ,
Allowed substitution hints:   ()   ()   ()

Proof of Theorem stoweidlem4
StepHypRef Expression
1 eleq1 2495 . . . . 5
21anbi2d 708 . . . 4
3 simpl 458 . . . . . 6
43mpteq2dva 4510 . . . . 5
54eleq1d 2491 . . . 4
62, 5imbi12d 321 . . 3
7 stoweidlem4.1 . . 3
86, 7vtoclg 3139 . 2
98anabsi7 826 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 370   wceq 1437   wcel 1872   cmpt 4482  cr 9545 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1663  ax-4 1676  ax-5 1752  ax-6 1798  ax-7 1843  ax-10 1891  ax-11 1896  ax-12 1909  ax-13 2057  ax-ext 2401 This theorem depends on definitions:  df-bi 188  df-an 372  df-tru 1440  df-ex 1658  df-nf 1662  df-sb 1791  df-clab 2408  df-cleq 2414  df-clel 2417  df-ral 2776  df-v 3082  df-opab 4483  df-mpt 4484 This theorem is referenced by:  stoweidlem18  37818  stoweidlem19  37819  stoweidlem22  37822  stoweidlem32  37833  stoweidlem36  37837  stoweidlem40  37841  stoweidlem41  37842  stoweidlem55  37856
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