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| Mirrors > Home > MPE Home > Th. List > truortru | Structured version Visualization version GIF version | ||
| Description: A ∨ identity. (Contributed by Anthony Hart, 22-Oct-2010.) (Proof shortened by Andrew Salmon, 13-May-2011.) |
| Ref | Expression |
|---|---|
| truortru | ⊢ ((⊤ ∨ ⊤) ↔ ⊤) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | oridm 911 | 1 ⊢ ((⊤ ∨ ⊤) ↔ ⊤) |
| Colors of variables: wff setvar class |
| Syntax hints: ↔ wb 208 ∨ wo 854 ⊤wtru 1549 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
| This theorem depends on definitions: df-bi 209 df-or 855 |
| This theorem is referenced by: trunortru 1597 |
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