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Mirrors > Home > ILE Home > Th. List > truanfal | GIF version |
Description: A ∧ identity. (Contributed by Anthony Hart, 22-Oct-2010.) |
Ref | Expression |
---|---|
truanfal | ⊢ ((⊤ ∧ ⊥) ↔ ⊥) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | truan 1301 | 1 ⊢ ((⊤ ∧ ⊥) ↔ ⊥) |
Colors of variables: wff set class |
Syntax hints: ∧ wa 102 ↔ wb 103 ⊤wtru 1285 ⊥wfal 1289 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 df-tru 1287 |
This theorem is referenced by: (None) |
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