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Theorem ifeq12 3676
Description: Equality theorem for conditional operators. (Contributed by NM, 1-Sep-2004.)
Assertion
Ref Expression
ifeq12

Proof of Theorem ifeq12
StepHypRef Expression
1 ifeq1 3667 . 2
2 ifeq2 3668 . 2
31, 2sylan9eq 2405 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wa 358   wceq 1642  cif 3663
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-or 359  df-an 360  df-nan 1288  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2479  df-rab 2624  df-v 2862  df-nin 3212  df-compl 3213  df-un 3215  df-if 3664
This theorem is referenced by: (None)
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