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Theorem eqeqan12rd 2369
Description: A useful inference for substituting definitions into an equality. (Contributed by NM, 9-Aug-1994.)
Hypotheses
Ref Expression
eqeqan12rd.1
eqeqan12rd.2
Assertion
Ref Expression
eqeqan12rd

Proof of Theorem eqeqan12rd
StepHypRef Expression
1 eqeqan12rd.1 . . 3
2 eqeqan12rd.2 . . 3
31, 2eqeqan12d 2368 . 2
43ancoms 439 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wb 176   wa 358   wceq 1642
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-11 1746  ax-ext 2334
This theorem depends on definitions:  df-bi 177  df-an 360  df-ex 1542  df-cleq 2346
This theorem is referenced by: (None)
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