This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
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 |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
nfeq2.1 |
⊢ Ⅎ 𝑥 𝐵 |
| 2 |
|
nfcv |
⊢ Ⅎ 𝑥 𝐴 |
| 3 |
2 1
|
nfel |
⊢ Ⅎ 𝑥 𝐴 ∈ 𝐵 |