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Theorem ins3keqi 4221
Description: Equality inference for Kuratowski insert three operator. (Contributed by SF, 12-Jan-2015.)
Hypothesis
Ref Expression
inskeqi.1
Assertion
Ref Expression
ins3keqi Ins3k Ins3k

Proof of Theorem ins3keqi
StepHypRef Expression
1 inskeqi.1 . 2
2 ins3keq 4219 . 2 Ins3k Ins3k
31, 2ax-mp 5 1 Ins3k Ins3k
Colors of variables: wff setvar class
Syntax hints:   wceq 1642   Ins3k cins3k 4177
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-3an 936  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-ins3k 4188
This theorem is referenced by: (None)
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