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Theorem mpt2eq123i 5664
 Description: An equality inference for the maps to notation. (Contributed by set.mm contributors, 15-Jul-2013.)
Hypotheses
Ref Expression
mpt2eq123i.1
mpt2eq123i.2
mpt2eq123i.3
Assertion
Ref Expression
mpt2eq123i

Proof of Theorem mpt2eq123i
StepHypRef Expression
1 mpt2eq123i.1 . . . 4
21a1i 10 . . 3
3 mpt2eq123i.2 . . . 4
43a1i 10 . . 3
5 mpt2eq123i.3 . . . 4
65a1i 10 . . 3
72, 4, 6mpt2eq123dv 5663 . 2
87trud 1323 1
 Colors of variables: wff setvar class Syntax hints:   wtru 1316   wceq 1642   cmpt2 5653 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-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-oprab 5528  df-mpt2 5654 This theorem is referenced by: (None)
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