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Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bdor | GIF version |
Description: The disjunction of two bounded formulas is bounded. (Contributed by BJ, 25-Sep-2019.) |
Ref | Expression |
---|---|
bdim.1 | ⊢ BOUNDED 𝜑 |
bdim.2 | ⊢ BOUNDED 𝜓 |
Ref | Expression |
---|---|
ax-bdor | ⊢ BOUNDED (𝜑 ∨ 𝜓) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 wff 𝜑 | |
2 | wps | . . 3 wff 𝜓 | |
3 | 1, 2 | wo 680 | . 2 wff (𝜑 ∨ 𝜓) |
4 | 3 | wbd 12689 | 1 wff BOUNDED (𝜑 ∨ 𝜓) |
Colors of variables: wff set class |
This axiom is referenced by: bddc 12705 bd3or 12706 bdxor 12713 bdcun 12739 bdop 12752 bj-zfpair2 12787 bj-nn0suc0 12827 |
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