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Theorem fvmpt2i 5962
Description: Value of a function given by the "maps to" notation. (Contributed by Mario Carneiro, 23-Apr-2014.)
Hypothesis
Ref Expression
fvmpt2.1
Assertion
Ref Expression
fvmpt2i
Distinct variable group:   ,

Proof of Theorem fvmpt2i
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 csbeq1 3437 . . 3
2 csbid 3442 . . 3
31, 2syl6eq 2514 . 2
4 fvmpt2.1 . . 3
5 nfcv 2619 . . . 4
6 nfcsb1v 3450 . . . 4
7 csbeq1a 3443 . . . 4
85, 6, 7cbvmpt 4542 . . 3
94, 8eqtri 2486 . 2
103, 9fvmpti 5955 1
Colors of variables: wff setvar class
Syntax hints:  ->wi 4  =wceq 1395  e.wcel 1818  [_csb 3434  e.cmpt 4510   cid 4795  `cfv 5593
This theorem is referenced by:  fvmpt2  5963  sumfc  13531  fsumf1o  13545  sumss  13546  isumshft  13651  prodfc  13752  fprodf1o  13753  mbfsup  22071  itg2splitlem  22155  dgrle  22640
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-8 1820  ax-9 1822  ax-10 1837  ax-11 1842  ax-12 1854  ax-13 1999  ax-ext 2435  ax-sep 4573  ax-nul 4581  ax-pow 4630  ax-pr 4691
This theorem depends on definitions:  df-bi 185  df-or 370  df-an 371  df-3an 975  df-tru 1398  df-ex 1613  df-nf 1617  df-sb 1740  df-eu 2286  df-mo 2287  df-clab 2443  df-cleq 2449  df-clel 2452  df-nfc 2607  df-ne 2654  df-ral 2812  df-rex 2813  df-rab 2816  df-v 3111  df-sbc 3328  df-csb 3435  df-dif 3478  df-un 3480  df-in 3482  df-ss 3489  df-nul 3785  df-if 3942  df-sn 4030  df-pr 4032  df-op 4036  df-uni 4250  df-br 4453  df-opab 4511  df-mpt 4512  df-id 4800  df-xp 5010  df-rel 5011  df-cnv 5012  df-co 5013  df-dm 5014  df-rn 5015  df-res 5016  df-ima 5017  df-iota 5556  df-fun 5595  df-fv 5601
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