ax-bdor - Mathbox for BJ

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Axiom ax-bdor 17059

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 720	. 2 wff (𝜑 ∨ 𝜓)
4	3	wbd 17055	1 wff BOUNDED (𝜑 ∨ 𝜓)

Colors of variables: wff set class

This axiom is used by: bddc 17071 bd3or 17072 bdxor 17079 bdcun 17105 bdop 17118 bj-zfpair2 17153 bj-nn0suc0 17193