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Theorem opeq1i 3989
 Description: Equality inference for ordered pairs. (Contributed by NM, 16-Dec-2006.)
Hypothesis
Ref Expression
opeq1i.1
Assertion
Ref Expression
opeq1i

Proof of Theorem opeq1i
StepHypRef Expression
1 opeq1i.1 . 2
2 opeq1 3986 . 2
31, 2ax-mp 5 1
 Colors of variables: wff set class Syntax hints:   wceq 1653  cop 3819 This theorem is referenced by:  axi2m1  9039  strlemor1  13561  grpbasex  13577  grpplusgx  13578  indistpsx  17079  mapfzcons  26786 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1556  ax-5 1567  ax-17 1627  ax-9 1667  ax-8 1688  ax-6 1745  ax-7 1750  ax-11 1762  ax-12 1951  ax-ext 2419 This theorem depends on definitions:  df-bi 179  df-or 361  df-an 362  df-3an 939  df-tru 1329  df-ex 1552  df-nf 1555  df-sb 1660  df-clab 2425  df-cleq 2431  df-clel 2434  df-nfc 2563  df-rab 2716  df-v 2960  df-dif 3325  df-un 3327  df-in 3329  df-ss 3336  df-nul 3631  df-if 3742  df-sn 3822  df-pr 3823  df-op 3825
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