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Theorem oteq2d 3989
Description: Equality deduction for ordered triples. (Contributed by Mario Carneiro, 11-Jan-2017.)
Hypothesis
Ref Expression
oteq1d.1
Assertion
Ref Expression
oteq2d

Proof of Theorem oteq2d
StepHypRef Expression
1 oteq1d.1 . 2
2 oteq2 3986 . 2
31, 2syl 16 1
Colors of variables: wff set class
Syntax hints:  ->wi 4  =wceq 1652  <.cotp 3810
This theorem is referenced by:  oteq123d  3991  mapdh9a  32525  hdmap1eulem  32559  hdmapffval  32564  hdmapfval  32565  hdmapval2  32570
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 2416
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 2422  df-cleq 2428  df-clel 2431  df-nfc 2560  df-rab 2706  df-v 2950  df-dif 3315  df-un 3317  df-in 3319  df-ss 3326  df-nul 3621  df-if 3732  df-sn 3812  df-pr 3813  df-op 3815  df-ot 3816
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