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Mirrors > Home > ILE Home > Th. List > simp3 | GIF version |
Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994.) |
Ref | Expression |
---|---|
simp3 | ⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → 𝜒) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simpc 903 | . 2 ⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → (𝜓 ∧ 𝜒)) | |
2 | 1 | simprd 107 | 1 ⊢ ((𝜑 ∧ 𝜓 ∧ 𝜒) → 𝜒) |
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