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Axiom ax-bd0 11047
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 11046 . 2 wff BOUNDED 𝜑
3 wps . . 3 wff 𝜓
43wbd 11046 . 2 wff BOUNDED 𝜓
52, 4wi 4 1 wff (BOUNDED 𝜑BOUNDED 𝜓)
Colors of variables: wff set class
This axiom is referenced by:  bdeq  11057  bd0  11058
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