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| Mirrors > Home > PE Home > Th. List > truthtblfandf-P4.37d | |||
| Description: ( F ∧ F ) ⇔ F. † |
| Ref | Expression |
|---|---|
| truthtblfandf-P4.37d | ⊢ ((⊥ ∧ ⊥) ↔ ⊥) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | idempotand-P4.25a 450 | 1 ⊢ ((⊥ ∧ ⊥) ↔ ⊥) |
| Colors of variables: wff objvar term class |
| Syntax hints: ↔ wff-bi 104 ∧ wff-and 132 ⊥wff-false 157 |
| This theorem was proved from axioms: ax-L1 11 ax-L2 12 ax-L3 13 ax-MP 14 |
| This theorem depends on definitions: df-bi-D2.1 107 df-and-D2.2 133 df-true-D2.4 155 |
| This theorem is referenced by: (None) |
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