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Mirrors > Home > MPE Home > Th. List > simp13 | Structured version Visualization version GIF version |
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.) |
Ref | Expression |
---|---|
simp13 | ⊢ (((𝜑 ∧ 𝜓 ∧ 𝜒) ∧ 𝜃 ∧ 𝜏) → 𝜒) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp3 1140 | . 2 ⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → 𝜒) | |
2 | 1 | 3ad2ant1 1135 | 1 ⊢ (((𝜑 ∧ 𝜓 ∧ 𝜒) ∧ 𝜃 ∧ 𝜏) → 𝜒) |
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