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Axiom ax-bdim 11174
Description: An implication between two bounded formulas is bounded. (Contributed by BJ, 25-Sep-2019.)
Hypotheses
Ref Expression
bdim.1  |- BOUNDED  ph
bdim.2  |- BOUNDED  ps
Assertion
Ref Expression
ax-bdim  |- BOUNDED  ( ph  ->  ps )

Detailed syntax breakdown of Axiom ax-bdim
StepHypRef Expression
1 wph . . 3  wff  ph
2 wps . . 3  wff  ps
31, 2wi 4 . 2  wff  ( ph  ->  ps )
43wbd 11172 1  wff BOUNDED  ( ph  ->  ps )
Colors of variables: wff set class
This axiom is referenced by:  bdbi  11186  bdstab  11187  bdth  11191  bdcdeq  11199  bdreu  11215  bdrmo  11216  bdcriota  11243  bj-inf2vnlem3  11336
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