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Mirrors > Home > MPE Home > Th. List > simpr1 | Structured version Visualization version GIF version |
Description: Simplification rule. (Contributed by Jeff Hankins, 17-Nov-2009.) |
Ref | Expression |
---|---|
simpr1 | ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒 ∧ 𝜃)) → 𝜓) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp1 1054 | . 2 ⊢ ((𝜓 ∧ 𝜒 ∧ 𝜃) → 𝜓) | |
2 | 1 | adantl 481 | 1 ⊢ ((𝜑 ∧ (𝜓 ∧ 𝜒 ∧ 𝜃)) → 𝜓) |
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