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Mirrors > Home > MPE Home > Th. List > simprr | Structured version Visualization version GIF version |
Description: Simplification of a conjunction. (Contributed by NM, 21-Mar-2007.) |
Ref | Expression |
---|---|
simprr | ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒)) → 𝜒) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 22 | . 2 ⊢ (𝜒 → 𝜒) | |
2 | 1 | ad2antll 726 | 1 ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒)) → 𝜒) |
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