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| Mirrors > Home > MPE Home > Th. List > simp12 | Structured version Visualization version GIF version | ||
| Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.) |
| Ref | Expression |
|---|---|
| simp12 | ⊢ (((𝜑 ∧ 𝜓 ∧ 𝜒) ∧ 𝜃 ∧ 𝜏) → 𝜓) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simp2 1138 | . 2 ⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → 𝜓) | |
| 2 | 1 | 3ad2ant1 1134 | 1 ⊢ (((𝜑 ∧ 𝜓 ∧ 𝜒) ∧ 𝜃 ∧ 𝜏) → 𝜓) |
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