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Theorem tt 60
Description: Justification of Definition df-t 41 of true (1). This shows that the definition is independent of the variable used to define it. (Contributed by NM, 9-Aug-1997.)
Assertion
Ref Expression
tt (aa ) = (bb )

Proof of Theorem tt
StepHypRef Expression
1 ax-a4 33 . . . 4 ((bb ) ∪ (aa )) = (aa )
21ax-r1 35 . . 3 (aa ) = ((bb ) ∪ (aa ))
3 ax-a2 31 . . 3 ((bb ) ∪ (aa )) = ((aa ) ∪ (bb ))
42, 3ax-r2 36 . 2 (aa ) = ((aa ) ∪ (bb ))
5 ax-a4 33 . 2 ((aa ) ∪ (bb )) = (bb )
64, 5ax-r2 36 1 (aa ) = (bb )
Colors of variables: term
Syntax hints:   = wb 1   wn 4  wo 6
This theorem was proved from axioms:  ax-a2 31  ax-a4 33  ax-r1 35  ax-r2 36
This theorem is referenced by: (None)
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