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Theorem strded 25842
 Description: Structure of a deductive system. (Contributed by FL, 28-Oct-2007.)
Assertion
Ref Expression
strded

Proof of Theorem strded
Dummy variables are mutually distinct and distinct from all other variables.
StepHypRef Expression
1 df-ded 25838 . 2
2 stcat 25147 . 2
31, 2eqsstri 3221 1
 Colors of variables: wff set class Syntax hints:   wi 4   wb 176   wa 358   w3a 934  wex 1531   wceq 1632   wcel 1696  cab 2282  wral 2556  cvv 2801   wss 3165  cop 3656   cxp 4703   cdm 4705  cfv 5271  (class class class)co 5874   calg 25814  cded 25837 This theorem is referenced by:  relded  25843  reldded  25844  relrded  25845 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1536  ax-5 1547  ax-17 1606  ax-9 1644  ax-8 1661  ax-14 1700  ax-6 1715  ax-7 1720  ax-11 1727  ax-12 1878  ax-ext 2277  ax-sep 4157  ax-nul 4165  ax-pr 4230 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-3an 936  df-tru 1310  df-ex 1532  df-nf 1535  df-sb 1639  df-clab 2283  df-cleq 2289  df-clel 2292  df-nfc 2421  df-ne 2461  df-ral 2561  df-rex 2562  df-rab 2565  df-v 2803  df-dif 3168  df-un 3170  df-in 3172  df-ss 3179  df-nul 3469  df-if 3579  df-sn 3659  df-pr 3660  df-op 3662  df-opab 4094  df-xp 4711  df-ded 25838
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