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| Mirrors > Home > MPE Home > Th. List > simp1l | Structured version Visualization version GIF version | ||
| Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.) |
| Ref | Expression |
|---|---|
| simp1l | ⊢ (((𝜑 ∧ 𝜓) ∧ 𝜒 ∧ 𝜃) → 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simpl 482 | . 2 ⊢ ((𝜑 ∧ 𝜓) → 𝜑) | |
| 2 | 1 | 3ad2ant1 1134 | 1 ⊢ (((𝜑 ∧ 𝜓) ∧ 𝜒 ∧ 𝜃) → 𝜑) |
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