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| Mirrors > Home > MPE Home > Th. List > pm2.43i | Structured version Visualization version GIF version | ||
| Description: Inference absorbing redundant antecedent. Inference associated with pm2.43 56. (Contributed by NM, 10-Jan-1993.) (Proof shortened by Mel L. O'Cat, 28-Nov-2008.) |
| Ref | Expression |
|---|---|
| pm2.43i.1 | ⊢ (𝜑 → (𝜑 → 𝜓)) |
| Ref | Expression |
|---|---|
| pm2.43i | ⊢ (𝜑 → 𝜓) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | id 22 | . 2 ⊢ (𝜑 → 𝜑) | |
| 2 | pm2.43i.1 | . 2 ⊢ (𝜑 → (𝜑 → 𝜓)) | |
| 3 | 1, 2 | mpd 15 | 1 ⊢ (𝜑 → 𝜓) |
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