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Theorem csbtt 3148
 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 3137 . 2
2 nfcr 2481 . . . 4
3 sbctt 3108 . . . 4
42, 3sylan2 460 . . 3
54abbi1dv 2469 . 2
61, 5syl5eq 2397 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176   wa 358  wnf 1544   wceq 1642   wcel 1710  cab 2339  wnfc 2476  wsbc 3046  csb 3136 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-v 2861  df-sbc 3047  df-csb 3137 This theorem is referenced by:  csbconstgf  3149  sbnfc2  3196
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