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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 1534 | . 2 ⊢ Ⅎ𝑥∀𝑥𝜑 | |
2 | 1 | nfal 1569 | 1 ⊢ Ⅎ𝑥∀𝑦∀𝑥𝜑 |
Colors of variables: wff set class |
Syntax hints: ∀wal 1346 Ⅎwnf 1453 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 df-nf 1454 |
This theorem is referenced by: cbv1h 1739 csbie2t 3097 copsex2t 4230 fnoprabg 5954 |
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