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Mirrors > Home > ILE Home > Th. List > nfa2 | GIF version |
Description: Lemma 24 of [Monk2] p. 114. (Contributed by Mario Carneiro, 24-Sep-2016.) |
Ref | Expression |
---|---|
nfa2 | ⊢ Ⅎ𝑥∀𝑦∀𝑥𝜑 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfa1 1541 | . 2 ⊢ Ⅎ𝑥∀𝑥𝜑 | |
2 | 1 | nfal 1576 | 1 ⊢ Ⅎ𝑥∀𝑦∀𝑥𝜑 |
Colors of variables: wff set class |
Syntax hints: ∀wal 1351 Ⅎwnf 1460 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: cbv1h 1746 csbie2t 3105 copsex2t 4244 fnoprabg 5973 |
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