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Add new theorems and proofs #22

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20 changes: 8 additions & 12 deletions EasyLean/Basic.lean
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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.MathdAlgebra.mathd_algebra_513

namespace EasyLean

export MathdAlgebra (mathd_algebra_513)

end EasyLean

14 changes: 14 additions & 0 deletions EasyLean/MathdAlgebra/mathd_algebra_513.lean
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import Mathlib

namespace EasyLean
namespace MathdAlgebra

theorem mathd_algebra_513 (a b : ℝ)
(h₀ : 3 * a + 2 * b = 5)
(h₁ : a + b = 2) :
a = 1 ∧ b = 1 := by
constructor <;> linarith [h₀, h₁]

end MathdAlgebra
end EasyLean

6 changes: 6 additions & 0 deletions Main.lean
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import EasyLean

open EasyLean

#check mathd_algebra_513