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| Mirrors > Home > MPE Home > Th. List > simpl3r | Structured version Visualization version GIF version | ||
| Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) (Proof shortened by Wolf Lammen, 23-Jun-2022.) |
| Ref | Expression |
|---|---|
| simpl3r | ⊢ (((𝜒 ∧ 𝜃 ∧ (𝜑 ∧ 𝜓)) ∧ 𝜏) → 𝜓) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | simplr 769 | . 2 ⊢ (((𝜑 ∧ 𝜓) ∧ 𝜏) → 𝜓) | |
| 2 | 1 | 3ad2antl3 1188 | 1 ⊢ (((𝜒 ∧ 𝜃 ∧ (𝜑 ∧ 𝜓)) ∧ 𝜏) → 𝜓) |
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