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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) |
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