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| Mirrors > Home > NFE Home > Th. List > truortru | 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 500 | 1 ⊢ (( ⊤ ∨ ⊤ ) ↔ ⊤ ) |
| Colors of variables: wff setvar class |
| Syntax hints: ↔ wb 176 ∨ wo 357 ⊤ wtru 1316 |
| 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 177 df-or 359 |
| This theorem is referenced by: (None) |
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