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Theorem csbtt 3265
 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 3254 . 2
2 nfcr 2566 . . . 4
3 sbctt 3225 . . . 4
42, 3sylan2 462 . . 3
54abbi1dv 2554 . 2
61, 5syl5eq 2482 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 178   wa 360  wnf 1554   wceq 1653   wcel 1726  cab 2424  wnfc 2561  wsbc 3163  csb 3253 This theorem is referenced by:  csbconstgf  3266  sbnfc2  3311 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-v 2960  df-sbc 3164  df-csb 3254
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