From ad2fad38a77bbe497ac27a47eb624ec2e8f7435d Mon Sep 17 00:00:00 2001
From: "aleph-prover-test[bot]"
 <247855025+aleph-prover-test[bot]@users.noreply.github.com>
Date: Thu, 18 Dec 2025 17:36:26 +0000
Subject: [PATCH] Add new theorems and proofs

Automated commit at 20251218_173625
---
 EasyLean/Basic.lean                           | 13 +------------
 EasyLean/Mathd/Algebra/mathd_algebra_513.lean |  8 ++++++++
 2 files changed, 9 insertions(+), 12 deletions(-)
 create mode 100644 EasyLean/Mathd/Algebra/mathd_algebra_513.lean

diff --git a/EasyLean/Basic.lean b/EasyLean/Basic.lean
index 305e1ca..ada949a 100644
--- a/EasyLean/Basic.lean
+++ b/EasyLean/Basic.lean
@@ -1,12 +1 @@
-import Mathlib.Data.Real.Basic
-import Mathlib.Tactic.Linarith
-
-theorem mathd_algebra_513
-  (a b : ℝ)
-  (h₀ : 3 * a + 2 * b = 5)
-  (h₁ : a + b = 2) :
-  a = 1 ∧ b = 1 := by
-  sorry
-
-theorem eq_four : ∀ a b c d : Nat, a = b → a = d → a = c → c = b := by
-  sorry
+import EasyLean.Mathd.Algebra.mathd_algebra_513
diff --git a/EasyLean/Mathd/Algebra/mathd_algebra_513.lean b/EasyLean/Mathd/Algebra/mathd_algebra_513.lean
new file mode 100644
index 0000000..34ea1ca
--- /dev/null
+++ b/EasyLean/Mathd/Algebra/mathd_algebra_513.lean
@@ -0,0 +1,8 @@
+import Mathlib
+
+theorem mathd_algebra_513 (a b : ℝ) (h₀ : 3 * a + 2 * b = 5) (h₁ : a + b = 2) : a = 1 ∧ b = 1 := by
+  have ha : a = 1 := by
+    linarith [h₀, h₁]
+  have hb : b = 1 := by
+    linarith [h₀, h₁]
+  exact ⟨ha, hb⟩