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 14708

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 708	. 2 wff (𝜑 ∨ 𝜓)
4	3	wbd 14704	1 wff BOUNDED (𝜑 ∨ 𝜓)

Colors of variables: wff set class

This axiom is referenced by: bddc 14720 bd3or 14721 bdxor 14728 bdcun 14754 bdop 14767 bj-zfpair2 14802 bj-nn0suc0 14842