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| Mirrors > Home > MPE Home > Th. List > nfaba1OLD | Structured version Visualization version GIF version | ||
| Description: Obsolete version of nfaba1 2913 as of 14-May-2025. (Contributed by Mario Carneiro, 14-Oct-2016.) (Revised by GG, 20-Jan-2024.) (Proof modification is discouraged.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| nfaba1OLD | ⊢ Ⅎ𝑥{𝑦 ∣ ∀𝑥𝜑} |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | nfa1 2151 | . 2 ⊢ Ⅎ𝑥∀𝑥𝜑 | |
| 2 | 1 | nfab 2911 | 1 ⊢ Ⅎ𝑥{𝑦 ∣ ∀𝑥𝜑} |
| Colors of variables: wff setvar class |
| Syntax hints: ∀wal 1538 {cab 2714 Ⅎwnfc 2890 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1910 ax-6 1967 ax-7 2007 ax-10 2141 ax-11 2157 ax-12 2177 |
| This theorem depends on definitions: df-bi 207 df-or 849 df-ex 1780 df-nf 1784 df-sb 2065 df-clab 2715 df-nfc 2892 |
| This theorem is referenced by: (None) |
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