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| Mirrors > Home > MPE Home > Th. List > Mathboxes > exor | Structured version Visualization version GIF version | ||
| Description: Alias for 19.43 1915 for easier lookup. (Contributed by SN, 5-Jul-2025.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| exor | ⊢ (∃𝑥(𝜑 ∨ 𝜓) ↔ (∃𝑥𝜑 ∨ ∃𝑥𝜓)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | 19.43 1915 | 1 ⊢ (∃𝑥(𝜑 ∨ 𝜓) ↔ (∃𝑥𝜑 ∨ ∃𝑥𝜓)) |
| Colors of variables: wff setvar class |
| This proof depends on syntax axioms: ↔ wb 209 ∨ wo 861 ∃wex 1812 |
| This proof depends on axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1828 ax-4 1842 |
| This proof depends on definitions: df-bi 210 df-or 862 df-ex 1813 |
| This theorem is used by: (None) |
| Copyright terms: Public domain | W3C validator |