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| Mirrors > Home > MPE Home > Th. List > nfthOLD | Structured version Visualization version GIF version | ||
| Description: Obsolete proof of nfth 1727 as of 5-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (New usage is discouraged.) (Proof modification is discouraged.) |
| Ref | Expression |
|---|---|
| nfthOLD.1 | ⊢ 𝜑 |
| Ref | Expression |
|---|---|
| nfthOLD | ⊢ Ⅎ𝑥𝜑 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nfthOLD.1 | . . 3 ⊢ 𝜑 | |
| 2 | 1 | hbth 1729 | . 2 ⊢ (𝜑 → ∀𝑥𝜑) |
| 3 | 2 | nfiOLD 1734 | 1 ⊢ Ⅎ𝑥𝜑 |
| Colors of variables: wff setvar class |
| Syntax hints: ℲwnfOLD 1709 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 |
| This theorem depends on definitions: df-bi 197 df-nfOLD 1721 |
| This theorem is referenced by: (None) |
| Copyright terms: Public domain | W3C validator |