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Metamath Proof Explorer

Theorem falnantru

Description: A -/\ identity. (Contributed by Anthony Hart, 23-Oct-2010) (Proof shortened by Andrew Salmon, 13-May-2011)

		Ref	Expression
	Assertion	falnantru	$⊢ (⊥ ⊼ ⊤) \leftrightarrow ⊤$

Step	Hyp	Ref	Expression
1		nancom	$⊢ (⊥ ⊼ ⊤) \leftrightarrow (⊤ ⊼ ⊥)$
2		trunanfal	$⊢ (⊤ ⊼ ⊥) \leftrightarrow ⊤$
3	1 2	bitri	$⊢ (⊥ ⊼ ⊤) \leftrightarrow ⊤$