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Mirrors > Home > MPE Home > Th. List > alim | Structured version Visualization version GIF version |
Description: Restatement of Axiom ax-4 1810, for labeling consistency. It should be the only theorem using ax-4 1810. (Contributed by NM, 10-Jan-1993.) |
Ref | Expression |
---|---|
alim | ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1810 | 1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 ∀wal 1535 |
This theorem was proved from axioms: ax-4 1810 |
This theorem is referenced by: alimi 1812 al2im 1815 sylgt 1822 19.38a 1840 stdpc5v 1939 axc4 2340 hbaltg 33052 bj-2alim 33944 bj-alexim 33960 bj-cbvalimt 33972 bj-eximALT 33974 bj-hbalt 34015 bj-nfdt0 34029 bj-nnf-alrim 34084 bj-nnflemaa 34091 bj-nnflemea 34094 stdpc5t 34150 al3im 40040 hbalg 40938 al2imVD 41245 hbalgVD 41288 |
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