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Mirrors > Home > MPE Home > Th. List > simplrr | Structured version Visualization version GIF version |
Description: Simplification of a conjunction. (Contributed by Jeff Hankins, 28-Jul-2009.) |
Ref | Expression |
---|---|
simplrr | ⊢ (((𝜑 ∧ (𝜓 ∧ 𝜒)) ∧ 𝜃) → 𝜒) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr 476 | . 2 ⊢ ((𝜓 ∧ 𝜒) → 𝜒) | |
2 | 1 | ad2antlr 759 | 1 ⊢ (((𝜑 ∧ (𝜓 ∧ 𝜒)) ∧ 𝜃) → 𝜒) |
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