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Metamath Proof Explorer

Theorem nffvmpt1

Description: Bound-variable hypothesis builder for mapping, special case. (Contributed by Mario Carneiro, 25-Dec-2016)

Ref Expression
Assertion nffvmpt1 ⊢ Ⅎ _ x x ∈ A ⟼ B ⁡ C

Proof

Step Hyp Ref Expression
1 nfmpt1 ⊢ Ⅎ _ x x ∈ A ⟼ B
2 nfcv ⊢ Ⅎ _ x C
3 1 2 nffv ⊢ Ⅎ _ x x ∈ A ⟼ B ⁡ C