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Mirrors > Home > MPE Home > Th. List > alim | Structured version Visualization version GIF version |
Description: Restatement of Axiom ax-4 1728, for labeling consistency. It should be the only theorem using ax-4 1728. (Contributed by NM, 10-Jan-1993.) |
Ref | Expression |
---|---|
alim | ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1728 | 1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 ∀wal 1473 |
This theorem was proved from axioms: ax-4 1728 |
This theorem is referenced by: alimi 1730 al2im 1732 sylgt 1739 stdpc5v 1854 spfwOLD 1953 19.21t 2061 axc4 2115 19.21t-1OLD 2200 eunex 4785 hbaltg 30957 bj-2alim 31779 bj-hbalt 31858 bj-nfdt0 31872 bj-eunex 31987 stdpc5t 32002 al3im 36957 hbalg 37792 al2imVD 38120 hbalgVD 38163 |
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