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Mirrors > Home > MPE Home > Th. List > simp23 | Structured version Visualization version GIF version |
Description: Simplification of doubly triple conjunction. (Contributed by NM, 17-Nov-2011.) |
Ref | Expression |
---|---|
simp23 | ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒 ∧ 𝜃) ∧ 𝜏) → 𝜃) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp3 1137 | . 2 ⊢ ((𝜓 ∧ 𝜒 ∧ 𝜃) → 𝜃) | |
2 | 1 | 3ad2ant2 1133 | 1 ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒 ∧ 𝜃) ∧ 𝜏) → 𝜃) |
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