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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 1434 | 1 ⊢ (∀𝑥(𝜑 → 𝜓) → (∀𝑥𝜑 → ∀𝑥𝜓)) |
Colors of variables: wff set class |
Syntax hints: → wi 4 ∀wal 1340 |
This theorem was proved from axioms: ax-5 1434 |
This theorem is referenced by: al2imi 1445 19.21h 1544 nfalt 1565 19.21ht 1568 mor 2055 bj-stal 13464 bj-hbalt 13479 |
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