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| Mirrors > Home > MPE Home > Th. List > imim1d | Structured version Visualization version GIF version | ||
| Description: Deduction adding nested consequents. Deduction associated with imim1 83 and imim1i 63. (Contributed by NM, 3-Apr-1994.) (Proof shortened by Wolf Lammen, 12-Sep-2012.) |
| Ref | Expression |
|---|---|
| imim1d.1 | ⊢ (𝜑 → (𝜓 → 𝜒)) |
| Ref | Expression |
|---|---|
| imim1d | ⊢ (𝜑 → ((𝜒 → 𝜃) → (𝜓 → 𝜃))) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | imim1d.1 | . 2 ⊢ (𝜑 → (𝜓 → 𝜒)) | |
| 2 | idd 24 | . 2 ⊢ (𝜑 → (𝜃 → 𝜃)) | |
| 3 | 1, 2 | imim12d 81 | 1 ⊢ (𝜑 → ((𝜒 → 𝜃) → (𝜓 → 𝜃))) |
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