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Mirrors > Home > MPE Home > Th. List > simp3r | Structured version Visualization version GIF version |
Description: Simplification of triple conjunction. (Contributed by NM, 9-Nov-2011.) |
Ref | Expression |
---|---|
simp3r | ⊢ ((𝜑 ∧ 𝜓 ∧ (𝜒 ∧ 𝜃)) → 𝜃) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr 488 | . 2 ⊢ ((𝜒 ∧ 𝜃) → 𝜃) | |
2 | 1 | 3ad2ant3 1137 | 1 ⊢ ((𝜑 ∧ 𝜓 ∧ (𝜒 ∧ 𝜃)) → 𝜃) |
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