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Mathlib/CategoryTheory/Triangulated/TStructure Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -179,12 +179,15 @@ lemma isLE_of_iso {X Y : C} (e : X ≅ Y) (n : ℤ) [t.IsLE X n] : t.IsLE Y n wh
179179lemma isGE_of_iso {X Y : C} (e : X ≅ Y) (n : ℤ) [t.IsGE X n] : t.IsGE Y n where
180180 ge := (t.ge n).prop_of_iso e (t.ge_of_isGE X n)
181181
182- lemma isLE_of_LE (X : C) (p q : ℤ) (hpq : p ≤ q := by lia) [t.IsLE X p] : t.IsLE X q where
182+ lemma isLE_of_le (X : C) (p q : ℤ) (hpq : p ≤ q := by lia) [t.IsLE X p] : t.IsLE X q where
183183 le := le_monotone t hpq _ (t.le_of_isLE X p)
184184
185- lemma isGE_of_GE (X : C) (p q : ℤ) (hpq : p ≤ q := by lia) [t.IsGE X q] : t.IsGE X p where
185+ lemma isGE_of_ge (X : C) (p q : ℤ) (hpq : p ≤ q := by lia) [t.IsGE X q] : t.IsGE X p where
186186 ge := ge_antitone t hpq _ (t.ge_of_isGE X q)
187187
188+ @ [deprecated (since := "2026-01-30" )] alias isLE_of_LE := isLE_of_le
189+ @ [deprecated (since := "2026-01-30" )] alias isGE_of_GE := isGE_of_ge
190+
188191lemma isLE_shift (X : C) (n a n' : ℤ) (hn' : a + n' = n := by lia) [t.IsLE X n] :
189192 t.IsLE (X⟦a⟧) n' :=
190193 ⟨t.le_shift n a n' hn' X (t.le_of_isLE X n)⟩
@@ -223,7 +226,7 @@ lemma zero {X Y : C} (f : X ⟶ Y) (n₀ n₁ : ℤ) (h : n₀ < n₁ := by lia)
223226 [t.IsLE X n₀] [t.IsGE Y n₁] : f = 0 := by
224227 have := t.isLE_shift X n₀ n₀ 0 (add_zero n₀)
225228 have := t.isGE_shift Y n₁ n₀ (n₁ - n₀)
226- have := t.isGE_of_GE (Y⟦n₀⟧) 1 (n₁ - n₀)
229+ have := t.isGE_of_ge (Y⟦n₀⟧) 1 (n₁ - n₀)
227230 apply (shiftFunctor C n₀).map_injective
228231 simp only [Functor.map_zero]
229232 apply t.zero'
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