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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 1201 | . 2 ⊢ ((𝜒 ∧ (𝜑 ∧ 𝜓) ∧ 𝜃) → 𝜑) | |
2 | 1 | 3ad2ant2 1136 | 1 ⊢ ((𝜏 ∧ (𝜒 ∧ (𝜑 ∧ 𝜓) ∧ 𝜃) ∧ 𝜂) → 𝜑) |
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