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dougdotcon
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douvras-lean-proof-repair

candidate_correction stringclasses 6 values	compiler_error stringclasses 6 values	error_label stringclasses 6 values	failed_code stringclasses 6 values	goal stringclasses 6 values	id stringlengths 16 22	language stringclasses 1 value	mathlib_version stringclasses 1 value	proof_status stringclasses 1 value	repair_reason stringclasses 6 values	source_artifact stringclasses 1 value	split stringclasses 1 value	synthetic bool 1 class	task_id stringlengths 16 22	theorem_context stringclasses 1 value
prova aceita pelo compilador	no error	completed	theorem reflexiva (x : Nat) : x = x := by rfl	Nat) : x = x := by rfl	LPR-COMPLETED-01	pt	synthetic-not-run	NOT_EXECUTED	prova concluída	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-COMPLETED-01	teorema sintético em aritmética elementar
prova aceita pelo compilador	no error	completed	theorem reflexiva (x : Nat) : x = x := by rfl	Nat) : x = x := by rfl	LPR-COMPLETED-02	pt	synthetic-not-run	NOT_EXECUTED	prova concluída	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-COMPLETED-02	teorema sintético em aritmética elementar
prova aceita pelo compilador	no error	completed	theorem reflexiva (x : Nat) : x = x := by rfl	Nat) : x = x := by rfl	LPR-COMPLETED-03	pt	synthetic-not-run	NOT_EXECUTED	prova concluída	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-COMPLETED-03	teorema sintético em aritmética elementar
prova aceita pelo compilador	no error	completed	theorem reflexiva (x : Nat) : x = x := by rfl	Nat) : x = x := by rfl	LPR-COMPLETED-04	pt	synthetic-not-run	NOT_EXECUTED	prova concluída	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-COMPLETED-04	teorema sintético em aritmética elementar
by rfl	did not find instance of the pattern	invalid_rewrite	theorem dup (x : Nat) : x = x := by rw [Nat.add_comm]	Nat) : x = x := by rw [Nat.add_comm]	LPR-INVALID_REWRITE-01	pt	synthetic-not-run	NOT_EXECUTED	reescrita não aplicável	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-INVALID_REWRITE-01	teorema sintético em aritmética elementar
by rfl	did not find instance of the pattern	invalid_rewrite	theorem dup (x : Nat) : x = x := by rw [Nat.add_comm]	Nat) : x = x := by rw [Nat.add_comm]	LPR-INVALID_REWRITE-02	pt	synthetic-not-run	NOT_EXECUTED	reescrita não aplicável	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-INVALID_REWRITE-02	teorema sintético em aritmética elementar
by rfl	did not find instance of the pattern	invalid_rewrite	theorem dup (x : Nat) : x = x := by rw [Nat.add_comm]	Nat) : x = x := by rw [Nat.add_comm]	LPR-INVALID_REWRITE-03	pt	synthetic-not-run	NOT_EXECUTED	reescrita não aplicável	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-INVALID_REWRITE-03	teorema sintético em aritmética elementar
by rfl	did not find instance of the pattern	invalid_rewrite	theorem dup (x : Nat) : x = x := by rw [Nat.add_comm]	Nat) : x = x := by rw [Nat.add_comm]	LPR-INVALID_REWRITE-04	pt	synthetic-not-run	NOT_EXECUTED	reescrita não aplicável	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-INVALID_REWRITE-04	teorema sintético em aritmética elementar
import Mathlib	unknown identifier `simp`	missing_import	theorem soma_zero (n : Nat) : n + 0 = n := by simp	Nat) : n + 0 = n := by simp	LPR-MISSING_IMPORT-01	pt	synthetic-not-run	NOT_EXECUTED	importação ausente	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-MISSING_IMPORT-01	teorema sintético em aritmética elementar
import Mathlib	unknown identifier `simp`	missing_import	theorem soma_zero (n : Nat) : n + 0 = n := by simp	Nat) : n + 0 = n := by simp	LPR-MISSING_IMPORT-02	pt	synthetic-not-run	NOT_EXECUTED	importação ausente	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-MISSING_IMPORT-02	teorema sintético em aritmética elementar
import Mathlib	unknown identifier `simp`	missing_import	theorem soma_zero (n : Nat) : n + 0 = n := by simp	Nat) : n + 0 = n := by simp	LPR-MISSING_IMPORT-03	pt	synthetic-not-run	NOT_EXECUTED	importação ausente	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-MISSING_IMPORT-03	teorema sintético em aritmética elementar
import Mathlib	unknown identifier `simp`	missing_import	theorem soma_zero (n : Nat) : n + 0 = n := by simp	Nat) : n + 0 = n := by simp	LPR-MISSING_IMPORT-04	pt	synthetic-not-run	NOT_EXECUTED	importação ausente	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-MISSING_IMPORT-04	teorema sintético em aritmética elementar
by omega ou by simpa [Nat.add_comm]	tactic `rfl` failed	tactic_failure	theorem comutativa (a b : Nat) : a + b = b + a := by exact rfl	Nat) : a + b = b + a := by exact rfl	LPR-TACTIC_FAILURE-01	pt	synthetic-not-run	NOT_EXECUTED	tática não prova a meta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TACTIC_FAILURE-01	teorema sintético em aritmética elementar
by omega ou by simpa [Nat.add_comm]	tactic `rfl` failed	tactic_failure	theorem comutativa (a b : Nat) : a + b = b + a := by exact rfl	Nat) : a + b = b + a := by exact rfl	LPR-TACTIC_FAILURE-02	pt	synthetic-not-run	NOT_EXECUTED	tática não prova a meta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TACTIC_FAILURE-02	teorema sintético em aritmética elementar
by omega ou by simpa [Nat.add_comm]	tactic `rfl` failed	tactic_failure	theorem comutativa (a b : Nat) : a + b = b + a := by exact rfl	Nat) : a + b = b + a := by exact rfl	LPR-TACTIC_FAILURE-03	pt	synthetic-not-run	NOT_EXECUTED	tática não prova a meta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TACTIC_FAILURE-03	teorema sintético em aritmética elementar
by omega ou by simpa [Nat.add_comm]	tactic `rfl` failed	tactic_failure	theorem comutativa (a b : Nat) : a + b = b + a := by exact rfl	Nat) : a + b = b + a := by exact rfl	LPR-TACTIC_FAILURE-04	pt	synthetic-not-run	NOT_EXECUTED	tática não prova a meta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TACTIC_FAILURE-04	teorema sintético em aritmética elementar
theorem deve declarar o mesmo tipo	type mismatch: Nat is not Int	type_mismatch	theorem identidade (n : Nat) : n = (n : Int) := by rfl	Nat) : n = (n : Int) := by rfl	LPR-TYPE_MISMATCH-01	pt	synthetic-not-run	NOT_EXECUTED	tipos incompatíveis	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TYPE_MISMATCH-01	teorema sintético em aritmética elementar
theorem deve declarar o mesmo tipo	type mismatch: Nat is not Int	type_mismatch	theorem identidade (n : Nat) : n = (n : Int) := by rfl	Nat) : n = (n : Int) := by rfl	LPR-TYPE_MISMATCH-02	pt	synthetic-not-run	NOT_EXECUTED	tipos incompatíveis	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TYPE_MISMATCH-02	teorema sintético em aritmética elementar
theorem deve declarar o mesmo tipo	type mismatch: Nat is not Int	type_mismatch	theorem identidade (n : Nat) : n = (n : Int) := by rfl	Nat) : n = (n : Int) := by rfl	LPR-TYPE_MISMATCH-03	pt	synthetic-not-run	NOT_EXECUTED	tipos incompatíveis	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TYPE_MISMATCH-03	teorema sintético em aritmética elementar
theorem deve declarar o mesmo tipo	type mismatch: Nat is not Int	type_mismatch	theorem identidade (n : Nat) : n = (n : Int) := by rfl	Nat) : n = (n : Int) := by rfl	LPR-TYPE_MISMATCH-04	pt	synthetic-not-run	NOT_EXECUTED	tipos incompatíveis	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-TYPE_MISMATCH-04	teorema sintético em aritmética elementar
by omega	unsolved goals	unsolved_goal	theorem sucessor (n : Nat) : n < n + 1 := by simp?	Nat) : n < n + 1 := by simp?	LPR-UNSOLVED_GOAL-01	pt	synthetic-not-run	NOT_EXECUTED	meta permanece aberta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-UNSOLVED_GOAL-01	teorema sintético em aritmética elementar
by omega	unsolved goals	unsolved_goal	theorem sucessor (n : Nat) : n < n + 1 := by simp?	Nat) : n < n + 1 := by simp?	LPR-UNSOLVED_GOAL-02	pt	synthetic-not-run	NOT_EXECUTED	meta permanece aberta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-UNSOLVED_GOAL-02	teorema sintético em aritmética elementar
by omega	unsolved goals	unsolved_goal	theorem sucessor (n : Nat) : n < n + 1 := by simp?	Nat) : n < n + 1 := by simp?	LPR-UNSOLVED_GOAL-03	pt	synthetic-not-run	NOT_EXECUTED	meta permanece aberta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-UNSOLVED_GOAL-03	teorema sintético em aritmética elementar
by omega	unsolved goals	unsolved_goal	theorem sucessor (n : Nat) : n < n + 1 := by simp?	Nat) : n < n + 1 := by simp?	LPR-UNSOLVED_GOAL-04	pt	synthetic-not-run	NOT_EXECUTED	meta permanece aberta	04_FORMAL_RESEARCH_LAB/05_FORMAL/lean	train	true	LPR-UNSOLVED_GOAL-04	teorema sintético em aritmética elementar

Douvras Lean Proof Repair Corpus

Exemplos sintéticos de erros comuns de reparo em Lean: importação ausente, incompatibilidade de tipos, falha de tática, meta não resolvida, reescrita inválida e prova reflexiva. Os snippets não foram executados no compilador (proof_status: NOT_EXECUTED); portanto o corpus não prova nenhum teorema e não substitui validação com uma versão específica do Mathlib.

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Douvras Labs datasets and models

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Synthetic Douvras Labs artifacts. Cards list license, splits, baseline and limits. M01 weights and D20 stay unpublished. • 342 items • Updated about 23 hours ago