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Mirrors > Home > MPE Home > Th. List > truorfal | Structured version Visualization version GIF version |
Description: A ∨ identity. (Contributed by Anthony Hart, 22-Oct-2010.) |
Ref | Expression |
---|---|
truorfal | ⊢ ((⊤ ∨ ⊥) ↔ ⊤) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru 1546 | . . 3 ⊢ ⊤ | |
2 | 1 | orci 862 | . 2 ⊢ (⊤ ∨ ⊥) |
3 | 2 | bitru 1551 | 1 ⊢ ((⊤ ∨ ⊥) ↔ ⊤) |
Colors of variables: wff setvar class |
Syntax hints: ↔ wb 205 ∨ wo 844 ⊤wtru 1543 ⊥wfal 1554 |
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 206 df-or 845 df-tru 1545 |
This theorem is referenced by: trunorfal 1593 |
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