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| Mirrors > Home > MPE Home > Th. List > imim2d | Structured version Visualization version GIF version | ||
| Description: Deduction adding nested antecedents. Deduction associated with imim2 58 and imim2i 16. (Contributed by NM, 10-Jan-1993.) |
| Ref | Expression |
|---|---|
| imim2d.1 | ⊢ (𝜑 → (𝜓 → 𝜒)) |
| Ref | Expression |
|---|---|
| imim2d | ⊢ (𝜑 → ((𝜃 → 𝜓) → (𝜃 → 𝜒))) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | imim2d.1 | . . 3 ⊢ (𝜑 → (𝜓 → 𝜒)) | |
| 2 | 1 | a1d 25 | . 2 ⊢ (𝜑 → (𝜃 → (𝜓 → 𝜒))) |
| 3 | 2 | a2d 29 | 1 ⊢ (𝜑 → ((𝜃 → 𝜓) → (𝜃 → 𝜒))) |
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