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Proof for mathd_algebra_513 #198

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Proof for mathd_algebra_513 #198

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15 changes: 12 additions & 3 deletions EasyLean/Basic.lean
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Original file line number Diff line number Diff line change
@@ -1,12 +1,21 @@
import Mathlib.Data.Real.Basic
import Mathlib.Tactic.Linarith

theorem mathd_algebra_513
(a b : ℝ)
theorem «# easy-lean»: True := by
trivial

theorem «easy-lean» (a b : ℝ) (h₀ : 3 * a + 2 * b = 5) (h₁ : a + b = 2) : a = 1 := by
linarith [h₀, h₁]

theorem mathd_algebra_513 (a b : ℝ)
(h₀ : 3 * a + 2 * b = 5)
(h₁ : a + b = 2) :
a = 1 ∧ b = 1 := by
sorry
constructor
· exact «easy-lean» a b h₀ h₁
· have ha : a = 1 := «easy-lean» a b h₀ h₁
linarith [h₁, ha]


theorem eq_four : ∀ a b c d : Nat, a = b → a = d → a = c → c = b := by
sorry