Axiom ax-bdim 17006

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 17004	1 wff BOUNDED ( ph -> ps )

This axiom is used by:  bdbi  17018  bdstab  17019  bdth  17023  bdcdeq  17031  bdreu  17047  bdrmo  17048  bdcriota  17075  bj-inf2vnlem3  17164