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Add new theorems and proofs #40

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11 changes: 5 additions & 6 deletions EasyLean/Basic.lean
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Original file line number Diff line number Diff line change
@@ -1,12 +1,11 @@
import Mathlib.Data.Real.Basic
import Mathlib.Tactic.Linarith

theorem mathd_algebra_513
(a b : ℝ)
theorem eq_four : ∀ a b c d : Nat, a = b → a = d → a = c → c = b := by
sorry

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
constructor <;> linarith [h₀, h₁]