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| Mirrors > Home > MPE Home > Th. List > alrimiv | Structured version Visualization version GIF version | ||
| Description: Inference form of Theorem 19.21 of [Margaris] p. 90. See 19.21 2207 and 19.21v 1939. (Contributed by NM, 21-Jun-1993.) |
| Ref | Expression |
|---|---|
| alrimiv.1 | ⊢ (𝜑 → 𝜓) |
| Ref | Expression |
|---|---|
| alrimiv | ⊢ (𝜑 → ∀𝑥𝜓) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-5 1910 | . 2 ⊢ (𝜑 → ∀𝑥𝜑) | |
| 2 | alrimiv.1 | . 2 ⊢ (𝜑 → 𝜓) | |
| 3 | 1, 2 | alrimih 1824 | 1 ⊢ (𝜑 → ∀𝑥𝜓) |
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