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| Mirrors > Home > MPE Home > Th. List > simp22 | Structured version Visualization version GIF version | ||
| Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.) |
| Ref | Expression |
|---|---|
| simp22 | ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒 ∧ 𝜃) ∧ 𝜏) → 𝜒) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simp2 1138 | . 2 ⊢ ((𝜓 ∧ 𝜒 ∧ 𝜃) → 𝜒) | |
| 2 | 1 | 3ad2ant2 1135 | 1 ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒 ∧ 𝜃) ∧ 𝜏) → 𝜒) |
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