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Axiom ax-bdal 9273
Description: A bounded universal quantification of a bounded formula is bounded. Note the DV condition on  , . (Contributed by BJ, 25-Sep-2019.)
Hypothesis
Ref Expression
bdal.1 BOUNDED
Assertion
Ref Expression
ax-bdal BOUNDED
Distinct variable group:   ,
Allowed substitution hints:   (,)

Detailed syntax breakdown of Axiom ax-bdal
StepHypRef Expression
1 wph . . 3
2 vx . . 3  setvar
3 vy . . . 4  setvar
43cv 1241 . . 3
51, 2, 4wral 2300 . 2
65wbd 9267 1 BOUNDED
Colors of variables: wff set class
This axiom is referenced by:  bdreu  9310  bdss  9319  bdcint  9332  bdciin  9334  bdcriota  9338  bj-bdind  9389  bj-nntrans  9411
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