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| Mirrors > Home > MPE Home > Th. List > simp22l | Structured version Visualization version GIF version | ||
| Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) | 
| Ref | Expression | 
|---|---|
| simp22l | ⊢ ((𝜏 ∧ (𝜒 ∧ (𝜑 ∧ 𝜓) ∧ 𝜃) ∧ 𝜂) → 𝜑) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | simp2l 1199 | . 2 ⊢ ((𝜒 ∧ (𝜑 ∧ 𝜓) ∧ 𝜃) → 𝜑) | |
| 2 | 1 | 3ad2ant2 1134 | 1 ⊢ ((𝜏 ∧ (𝜒 ∧ (𝜑 ∧ 𝜓) ∧ 𝜃) ∧ 𝜂) → 𝜑) | 
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