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| Mirrors > Home > ILE Home > Th. List > alim | GIF version | ||
| Description: Theorem 19.20 of [Margaris] p. 90. (Contributed by NM, 5-Aug-1993.) (Proof shortened by O'Cat, 30-Mar-2008.) |
| Ref | Expression |
|---|---|
| alim | ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-5 1493 | 1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
| Colors of variables: wff set class |
| Syntax hints: → wi 4 ∀wal 1393 |
| This theorem was proved from axioms: ax-5 1493 |
| This theorem is referenced by: al2imi 1504 19.21h 1603 nfalt 1624 19.21ht 1627 mor 2120 bj-stal 16071 bj-hbalt 16085 |
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