Metamath Proof Explorer


Theorem nfeq2

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

Ref Expression
Hypothesis nfeq2.1 ⊢ Ⅎ _ x B
Assertion nfeq2 ⊢ Ⅎ x A = B

Proof

Step Hyp Ref Expression
1 nfeq2.1 ⊢ Ⅎ _ x B
2 nfcv ⊢ Ⅎ _ x A
3 2 1 nfeq ⊢ Ⅎ x A = B