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| Description: Inference eliminating a conjunct. (Contributed by NM, 15-Jun-1994.) | 
| Ref | Expression | 
|---|---|
| simpli.1 | ⊢ (𝜑 ∧ 𝜓) | 
| Ref | Expression | 
|---|---|
| simpli | ⊢ 𝜑 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | simpli.1 | . 2 ⊢ (𝜑 ∧ 𝜓) | |
| 2 | simpl 482 | . 2 ⊢ ((𝜑 ∧ 𝜓) → 𝜑) | |
| 3 | 1, 2 | ax-mp 5 | 1 ⊢ 𝜑 | 
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