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Axiom ax-lll 25130
Description: Set equality is true in all worlds. (Contributed by Mario Carneiro, 30-Aug-2016.)
Assertion
Ref Expression
ax-lll  |-  ( x  =  y  ->  [.] x  =  y )

Detailed syntax breakdown of Axiom ax-lll
StepHypRef Expression
1 vx . . 3  set  x
2 vy . . 3  set  y
31, 2weq 1633 . 2  wff  x  =  y
43wbox 25073 . 2  wff  [.] x  =  y
53, 4wi 4 1  wff  ( x  =  y  ->  [.] x  =  y )
Colors of variables: wff set class
This axiom is referenced by:  axlll2  25131  cdeqbox  25132  cdeqnxt  25133  cdequnt  25134
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