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Metamath Proof Explorer

Theorem bitru

Description: A theorem is equivalent to truth. (Contributed by Mario Carneiro, 9-May-2015)

		Ref	Expression
	Hypothesis	bitru.1	$⊢ φ$
	Assertion	bitru	$⊢ φ \leftrightarrow ⊤$

Step	Hyp	Ref	Expression
1		bitru.1	$⊢ φ$
2		tru	$⊢ ⊤$
3	1 2	2th	$⊢ φ \leftrightarrow ⊤$