ax-bdor - Mathbox for BJ

	Mathbox for BJ		< Previous Next > Nearby theorems
Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bdor		GIF version

Axiom ax-bdor 13698

Description: The disjunction 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-bdor	⊢ BOUNDED (𝜑 ∨ 𝜓)

**Detailed syntax breakdown of Axiom ax-bdor**
Step	Hyp	Ref	Expression
1		wph	. . 3 wff 𝜑
2		wps	. . 3 wff 𝜓
3	1, 2	wo 698	. 2 wff (𝜑 ∨ 𝜓)
4	3	wbd 13694	1 wff BOUNDED (𝜑 ∨ 𝜓)

Colors of variables: wff set class

This axiom is referenced by: bddc 13710 bd3or 13711 bdxor 13718 bdcun 13744 bdop 13757 bj-zfpair2 13792 bj-nn0suc0 13832