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Theorem 3eqtr3a 2409
Description: A chained equality inference, useful for converting from definitions. (Contributed by Mario Carneiro, 6-Nov-2015.)
Hypotheses
Ref Expression
3eqtr3a.1
3eqtr3a.2
3eqtr3a.3
Assertion
Ref Expression
3eqtr3a

Proof of Theorem 3eqtr3a
StepHypRef Expression
1 3eqtr3a.2 . 2
2 3eqtr3a.1 . . 3
3 3eqtr3a.3 . . 3
42, 3syl5eq 2397 . 2
51, 4eqtr3d 2387 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   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-ex 1542  df-cleq 2346
This theorem is referenced by:  uneqin  3506
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