diff --git a/EasyLean/Basic.lean b/EasyLean/Basic.lean
index 305e1ca..5a1d082 100644
--- a/EasyLean/Basic.lean
+++ b/EasyLean/Basic.lean
@@ -1,12 +1,2 @@
-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.Theorems.MathdAlgebra513
+import EasyLean.Theorems.EqFour
diff --git a/EasyLean/Theorems/EqFour.lean b/EasyLean/Theorems/EqFour.lean
new file mode 100644
index 0000000..771eb48
--- /dev/null
+++ b/EasyLean/Theorems/EqFour.lean
@@ -0,0 +1,4 @@
+import Mathlib
+
+theorem eq_four (a b c d : Nat) (hab : a = b) (had : a = d) (hac : a = c) : c = b := by
+  exact hac.symm.trans hab
diff --git a/EasyLean/Theorems/MathdAlgebra513.lean b/EasyLean/Theorems/MathdAlgebra513.lean
new file mode 100644
index 0000000..34ea1ca
--- /dev/null
+++ b/EasyLean/Theorems/MathdAlgebra513.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⟩