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| Mirrors > Home > MPE Home > Th. List > Mathboxes > rexor | Structured version Visualization version GIF version | ||
| Description: Alias for r19.43 3121 for easier lookup. (Contributed by SN, 5-Jul-2025.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| rexor | ⊢ (∃𝑥 ∈ 𝐴 (𝜑 ∨ 𝜓) ↔ (∃𝑥 ∈ 𝐴 𝜑 ∨ ∃𝑥 ∈ 𝐴 𝜓)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | r19.43 3121 | 1 ⊢ (∃𝑥 ∈ 𝐴 (𝜑 ∨ 𝜓) ↔ (∃𝑥 ∈ 𝐴 𝜑 ∨ ∃𝑥 ∈ 𝐴 𝜓)) |
| Colors of variables: wff setvar class |
| Syntax hints: ↔ wb 206 ∨ wo 848 ∃wrex 3069 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1795 ax-4 1809 |
| This theorem depends on definitions: df-bi 207 df-an 396 df-or 849 df-ex 1780 df-ral 3061 df-rex 3070 |
| This theorem is referenced by: (None) |
| Copyright terms: Public domain | W3C validator |