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| Mirrors > Home > MPE Home > Th. List > imp32 | Structured version Visualization version GIF version | ||
| Description: An importation inference. (Contributed by NM, 26-Apr-1994.) |
| Ref | Expression |
|---|---|
| imp31.1 | ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜃))) |
| Ref | Expression |
|---|---|
| imp32 | ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒)) → 𝜃) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | imp31.1 | . . 3 ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜃))) | |
| 2 | 1 | impd 410 | . 2 ⊢ (𝜑 → ((𝜓 ∧ 𝜒) → 𝜃)) |
| 3 | 2 | imp 406 | 1 ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒)) → 𝜃) |
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