Description: Hypothesis builder for elementhood, special case. (Contributed by Mario Carneiro, 10-Oct-2016)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | nfeq2.1 | ⊢ Ⅎ 𝑥 𝐵 | |
| Assertion | nfel2 | ⊢ Ⅎ 𝑥 𝐴 ∈ 𝐵 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nfeq2.1 | ⊢ Ⅎ 𝑥 𝐵 | |
| 2 | nfcv | ⊢ Ⅎ 𝑥 𝐴 | |
| 3 | 2 1 | nfel | ⊢ Ⅎ 𝑥 𝐴 ∈ 𝐵 |