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Metamath Proof Explorer

Theorem falantru

Description: A /\ identity. (Contributed by Anthony Hart, 22-Oct-2010)

Ref Expression
Assertion falantru ( ( ⊥ ∧ ⊤ ) ↔ ⊥ )

Proof

Step Hyp Ref Expression
1 fal ⊢ ¬ ⊥
2 1 intnanr ⊢ ¬ ( ⊥ ∧ ⊤ )
3 2 bifal ⊢ ( ( ⊥ ∧ ⊤ ) ↔ ⊥ )