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Mirrors > Home > MPE Home > Th. List > alim | Structured version Visualization version GIF version |
Description: Restatement of Axiom ax-4 1853, for labeling consistency. It should be the only theorem using ax-4 1853. (Contributed by NM, 10-Jan-1993.) |
Ref | Expression |
---|---|
alim | ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1853 | 1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 ∀wal 1599 |
This theorem was proved from axioms: ax-4 1853 |
This theorem is referenced by: alimi 1855 al2im 1858 sylgt 1865 19.38a 1883 19.38aOLD 1884 stdpc5v 1981 axc4 2295 eunexOLD 5102 hbaltg 32301 bj-2alim 33173 bj-exlalrim 33183 bj-alexim 33184 bj-cbvalimt 33197 bj-hbalt 33260 bj-nfdt0 33274 stdpc5t 33389 al3im 38877 hbalg 39697 al2imVD 40013 hbalgVD 40056 |
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