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Metamath Proof Explorer

Theorem nfsbc1v

Description: Bound-variable hypothesis builder for class substitution. (Contributed by Mario Carneiro, 12-Oct-2016)

		Ref	Expression
	Assertion	nfsbc1v	$⊢ Ⅎ x \underset{˙}{[} A / x \underset{˙}{]} φ$

Step	Hyp	Ref	Expression
1		nfcv	$⊢ \underline{Ⅎ} x A$
2	1	nfsbc1	$⊢ Ⅎ x \underset{˙}{[} A / x \underset{˙}{]} φ$