Axiom ax-bdim 13012

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

Step	Hyp	Ref	Expression
1		wph	. . 3 wff ph
2		wps	. . 3 wff ps
3	1, 2	wi 4	. 2 wff ( ph -> ps )
4	3	wbd 13010	1 wff BOUNDED ( ph -> ps )

This axiom is referenced by:  bdbi  13024  bdstab  13025  bdth  13029  bdcdeq  13037  bdreu  13053  bdrmo  13054  bdcriota  13081  bj-inf2vnlem3  13170