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| Mirrors > Home > MPE Home > Th. List > nfe1OLD | Structured version Visualization version GIF version | ||
| Description: Obsolete proof of nfe1 2027 as of 6-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof modification is discouraged.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| nfe1OLD | ⊢ Ⅎ𝑥∃𝑥𝜑 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | hbe1 2021 | . 2 ⊢ (∃𝑥𝜑 → ∀𝑥∃𝑥𝜑) | |
| 2 | 1 | nfiOLD 1734 | 1 ⊢ Ⅎ𝑥∃𝑥𝜑 |
| Colors of variables: wff setvar class |
| Syntax hints: ∃wex 1704 ℲwnfOLD 1709 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-10 2019 |
| This theorem depends on definitions: df-bi 197 df-ex 1705 df-nfOLD 1721 |
| This theorem is referenced by: (None) |
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