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Axiom ax-bdan 12940
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 103 . 2 wff (𝜑𝜓)
43wbd 12937 1 wff BOUNDED (𝜑𝜓)
Colors of variables: wff set class
This axiom is referenced by:  bdbi  12951  bd3an  12955  bdxor  12961  bdcrab  12977  bdreu  12980  bdcdif  12986  bdcin  12988  bdvsn  12999  bdop  13000  bdeqsuc  13006  bj-bdind  13055
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