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Theorem istsr 14649
 Description: The predicate is a toset. (Contributed by FL, 1-Nov-2009.) (Revised by Mario Carneiro, 22-Nov-2013.)
Hypothesis
Ref Expression
istsr.1
Assertion
Ref Expression
istsr

Proof of Theorem istsr
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 dmeq 5070 . . . . 5
2 istsr.1 . . . . 5
31, 2syl6eqr 2486 . . . 4
43, 3xpeq12d 4903 . . 3
5 id 20 . . . 4
6 cnveq 5046 . . . 4
75, 6uneq12d 3502 . . 3
84, 7sseq12d 3377 . 2
9 df-tsr 14630 . 2
108, 9elrab2 3094 1
 Colors of variables: wff set class Syntax hints:   wb 177   wa 359   wceq 1652   wcel 1725   cun 3318   wss 3320   cxp 4876  ccnv 4877   cdm 4878  cps 14624   ctsr 14625 This theorem is referenced by:  istsr2  14650  tsrlemax  14652  tsrps  14653  cnvtsr  14654  letsr  14672  tsrdir  14683 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1555  ax-5 1566  ax-17 1626  ax-9 1666  ax-8 1687  ax-6 1744  ax-7 1749  ax-11 1761  ax-12 1950  ax-ext 2417 This theorem depends on definitions:  df-bi 178  df-or 360  df-an 361  df-3an 938  df-tru 1328  df-ex 1551  df-nf 1554  df-sb 1659  df-clab 2423  df-cleq 2429  df-clel 2432  df-nfc 2561  df-rab 2714  df-v 2958  df-dif 3323  df-un 3325  df-in 3327  df-ss 3334  df-nul 3629  df-if 3740  df-sn 3820  df-pr 3821  df-op 3823  df-br 4213  df-opab 4267  df-xp 4884  df-cnv 4886  df-dm 4888  df-tsr 14630
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