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| Mirrors > Home > MPE Home > Th. List > simpri | Structured version Visualization version GIF version | ||
| Description: Inference eliminating a conjunct. (Contributed by NM, 15-Jun-1994.) |
| Ref | Expression |
|---|---|
| simpri.1 | ⊢ (𝜑 ∧ 𝜓) |
| Ref | Expression |
|---|---|
| simpri | ⊢ 𝜓 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simpri.1 | . 2 ⊢ (𝜑 ∧ 𝜓) | |
| 2 | simpr 484 | . 2 ⊢ ((𝜑 ∧ 𝜓) → 𝜓) | |
| 3 | 1, 2 | ax-mp 5 | 1 ⊢ 𝜓 |
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