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Axiom ax-bd0 7187
Description: If two formulas are equivalent, then boundedness of one implies boundedness of the other. (Contributed by BJ, 3-Oct-2019.)
Hypothesis
Ref Expression
ax-bd0.1 (φψ)
Assertion
Ref Expression
ax-bd0 (BOUNDED φBOUNDED ψ)

Detailed syntax breakdown of Axiom ax-bd0
StepHypRef Expression
1 wph . . 3 wff φ
21wbd 7186 . 2 wff BOUNDED φ
3 wps . . 3 wff ψ
43wbd 7186 . 2 wff BOUNDED ψ
52, 4wi 4 1 wff (BOUNDED φBOUNDED ψ)
Colors of variables: wff set class
This axiom is referenced by:  bdeq  7197  bd0  7198
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