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Axiom ax-bd0 11142
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  |-  ( ph  <->  ps )
Assertion
Ref Expression
ax-bd0  |-  (BOUNDED  ph  -> BOUNDED  ps )

Detailed syntax breakdown of Axiom ax-bd0
StepHypRef Expression
1 wph . . 3  wff  ph
21wbd 11141 . 2  wff BOUNDED  ph
3 wps . . 3  wff  ps
43wbd 11141 . 2  wff BOUNDED  ps
52, 4wi 4 1  wff  (BOUNDED  ph  -> BOUNDED  ps )
Colors of variables: wff set class
This axiom is referenced by:  bdeq  11152  bd0  11153
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