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Mirrors > Home > MPE Home > Th. List > nfa1OLDOLD | Structured version Visualization version GIF version |
Description: Obsolete proof of nfa1 2028 as of 6-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
nfa1OLDOLD | ⊢ Ⅎ𝑥∀𝑥𝜑 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hba1 2151 | . 2 ⊢ (∀𝑥𝜑 → ∀𝑥∀𝑥𝜑) | |
2 | 1 | nfiOLD 1734 | 1 ⊢ Ⅎ𝑥∀𝑥𝜑 |
Colors of variables: wff setvar class |
Syntax hints: ∀wal 1481 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-5 1839 ax-6 1888 ax-7 1935 ax-10 2019 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-or 385 df-ex 1705 df-nf 1710 df-nfOLD 1721 |
This theorem is referenced by: nfnf1OLDOLD 2208 |
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