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| Mirrors > Home > MPE Home > Th. List > nfel1 | Structured version Visualization version GIF version | ||
| Description: Hypothesis builder for elementhood, special case. (Contributed by Mario Carneiro, 10-Oct-2016.) |
| Ref | Expression |
|---|---|
| nfeq1.1 | ⊢ Ⅎ𝑥𝐴 |
| Ref | Expression |
|---|---|
| nfel1 | ⊢ Ⅎ𝑥 𝐴 ∈ 𝐵 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nfeq1.1 | . 2 ⊢ Ⅎ𝑥𝐴 | |
| 2 | nfcv 2905 | . 2 ⊢ Ⅎ𝑥𝐵 | |
| 3 | 1, 2 | nfel 2920 | 1 ⊢ Ⅎ𝑥 𝐴 ∈ 𝐵 |
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