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Theorem csbtt 3412
 Description: Substitution doesn't affect a constant (in which is not free). (Contributed by Mario Carneiro, 14-Oct-2016.)
Assertion
Ref Expression
csbtt

Proof of Theorem csbtt
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 df-csb 3402 . 2
2 nfcr 2582 . . . 4
3 sbctt 3368 . . . 4
42, 3sylan2 476 . . 3
54abbi1dv 2567 . 2
61, 5syl5eq 2482 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 187   wa 370   wceq 1437  wnf 1663   wcel 1870  cab 2414  wnfc 2577  wsbc 3305  csb 3401 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1665  ax-4 1678  ax-5 1751  ax-6 1797  ax-7 1841  ax-10 1889  ax-11 1894  ax-12 1907  ax-13 2055  ax-ext 2407 This theorem depends on definitions:  df-bi 188  df-an 372  df-tru 1440  df-ex 1660  df-nf 1664  df-sb 1790  df-clab 2415  df-cleq 2421  df-clel 2424  df-nfc 2579  df-v 3089  df-sbc 3306  df-csb 3402 This theorem is referenced by:  csbconstgf  3413  sbnfc2  3830  constlimc  37275
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