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chore: protect Int.add_right_inj et al (#3551)

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Reducing some name conflicts in Mathlib.
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Scott Morrison 2024-03-02 00:01:39 +11:00 • committed by GitHub
parent 570b50dddd
commit 18306db396
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1 changed files with 4 additions and 4 deletions
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src/Init/Data/Int/Lemmas.lean
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@ -324,22 +324,22 @@ theorem toNat_sub (m n : Nat) : toNat (m - n) = m - n := by
/- ## add/sub injectivity -/
@[simp]
theorem add_right_inj (i j k : Int) : (i + k = j + k) ↔ i = j := by
protected theorem add_right_inj (i j k : Int) : (i + k = j + k) ↔ i = j := by
apply Iff.intro
· intro p
rw [←Int.add_sub_cancel i k, ←Int.add_sub_cancel j k, p]
· exact congrArg (· + k)
@[simp]
theorem add_left_inj (i j k : Int) : (k + i = k + j) ↔ i = j := by
protected theorem add_left_inj (i j k : Int) : (k + i = k + j) ↔ i = j := by
simp [Int.add_comm k]
@[simp]
theorem sub_left_inj (i j k : Int) : (k - i = k - j) ↔ i = j := by
protected theorem sub_left_inj (i j k : Int) : (k - i = k - j) ↔ i = j := by
simp [Int.sub_eq_add_neg, Int.neg_inj]
@[simp]
theorem sub_right_inj (i j k : Int) : (i - k = j - k) ↔ i = j := by
protected theorem sub_right_inj (i j k : Int) : (i - k = j - k) ↔ i = j := by
simp [Int.sub_eq_add_neg]
/- ## Ring properties -/