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Metamath Proof Explorer

Theorem fvmpt4

Description: Value of a function given by the maps-to notation. (Contributed by Glauco Siliprandi, 23-Oct-2021)

		Ref	Expression
	Assertion	fvmpt4	$⊢ (x \in A \land B \in C) \to (x \in A ⟼ B) (x) = B$

Step	Hyp	Ref	Expression
1		eqid	$⊢ (x \in A ⟼ B) = (x \in A ⟼ B)$
2	1	fvmpt2	$⊢ (x \in A \land B \in C) \to (x \in A ⟼ B) (x) = B$