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Theorem iuneq12f 29125
 Description: Equality deduction for indexed unions. (Contributed by Giovanni Mascellani, 10-Apr-2018.)
Hypotheses
Ref Expression
iuneq12f.1
iuneq12f.2
Assertion
Ref Expression
iuneq12f

Proof of Theorem iuneq12f
StepHypRef Expression
1 iuneq2 4296 . 2
2 iuneq12f.1 . . 3
3 iuneq12f.2 . . 3
42, 3iuneq2f 29116 . 2
51, 4sylan9eqr 2517 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wa 369   wceq 1370  wnfc 2602  wral 2799  ciun 4280 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1592  ax-4 1603  ax-5 1671  ax-6 1710  ax-7 1730  ax-10 1777  ax-11 1782  ax-12 1794  ax-13 1955  ax-ext 2432 This theorem depends on definitions:  df-bi 185  df-an 371  df-tru 1373  df-ex 1588  df-nf 1591  df-sb 1703  df-clab 2440  df-cleq 2446  df-clel 2449  df-nfc 2604  df-ral 2804  df-rex 2805  df-v 3080  df-in 3444  df-ss 3451  df-iun 4282 This theorem is referenced by: (None)
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