Prove2Me

Proof by two propositional cases

Proved
WorkbookSource.problem_43899

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Using logical equivalences, show that [(p∨q)∧(p⇒r)∧(q⇒r)]⇒r[(p\lor q)\land (p\Rightarrow r)\land (q\Rightarrow r)] \Rightarrow r

Source: InternLM Lean-Workbook, record lean_workbook_43899; Apache-2.0. Complete source proposition preserved.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.problem_43899 (p q r : Prop) : ((p ∨ q) ∧ (p → r) ∧ (q → r)) → r  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_43899; Apache-2.0

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