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Axiom ax-bdan 11175
Description: The conjunction of two bounded formulas is bounded. (Contributed by BJ, 25-Sep-2019.)
Hypotheses
Ref Expression
bdim.1 BOUNDED 𝜑
bdim.2 BOUNDED 𝜓
Assertion
Ref Expression
ax-bdan BOUNDED (𝜑𝜓)

Detailed syntax breakdown of Axiom ax-bdan
StepHypRef Expression
1 wph . . 3 wff 𝜑
2 wps . . 3 wff 𝜓
31, 2wa 102 . 2 wff (𝜑𝜓)
43wbd 11172 1 wff BOUNDED (𝜑𝜓)
Colors of variables: wff set class
This axiom is referenced by:  bdbi  11186  bd3an  11190  bdxor  11196  bdcrab  11212  bdreu  11215  bdcdif  11221  bdcin  11223  bdvsn  11234  bdop  11235  bdeqsuc  11241  bj-bdind  11294
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