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Theorem ins2keqi 4220
 Description: Equality inference for Kuratowski insert two operator. (Contributed by SF, 12-Jan-2015.)
Hypothesis
Ref Expression
inskeqi.1 A = B
Assertion
Ref Expression
ins2keqi Ins2k A = Ins2k B

Proof of Theorem ins2keqi
StepHypRef Expression
1 inskeqi.1 . 2 A = B
2 ins2keq 4218 . 2 (A = BIns2k A = Ins2k B)
31, 2ax-mp 8 1 Ins2k A = Ins2k B
 Colors of variables: wff setvar class Syntax hints:   = wceq 1642   Ins2k cins2k 4176 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 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-3an 936  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-ins2k 4187 This theorem is referenced by: (None)
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