Metamath Proof Explorer


Theorem nfel1

Description: Hypothesis builder for elementhood, special case. (Contributed by Mario Carneiro, 10-Oct-2016)

Ref Expression
Hypothesis nfeq1.1 ⊢ Ⅎ 𝑥 𝐴
Assertion nfel1 Ⅎ 𝑥 𝐴 ∈ 𝐵

Proof

Step Hyp Ref Expression
1 nfeq1.1 ⊢ Ⅎ 𝑥 𝐴
2 nfcv ⊢ Ⅎ 𝑥 𝐵
3 1 2 nfel ⊢ Ⅎ 𝑥 𝐴 ∈ 𝐵