@@ -120,18 +120,9 @@ alias ⟨_, WCovBy.toDual⟩ := toDual_wcovBy_toDual_iff
120120
121121alias ⟨_, WCovBy.ofDual⟩ := ofDual_wcovBy_ofDual_iff
122122
123- theorem OrderEmbedding.wcovBy_of_apply {α β : Type *} [Preorder α] [Preorder β]
124- (f : α ↪o β) {x y : α} (h : f x ⩿ f y) : x ⩿ y := by
125- use f.le_iff_le.1 h.1
126- intro a
127- rw [← f.lt_iff_lt, ← f.lt_iff_lt]
128- apply h.2
129-
130- theorem OrderIso.map_wcovBy {α β : Type *} [Preorder α] [Preorder β]
131- (f : α ≃o β) {x y : α} : f x ⩿ f y ↔ x ⩿ y := by
132- use f.toOrderEmbedding.wcovBy_of_apply
133- conv_lhs => rw [← f.symm_apply_apply x, ← f.symm_apply_apply y]
134- exact f.symm.toOrderEmbedding.wcovBy_of_apply
123+ @[deprecated (since := "2025-11-07")] alias OrderEmbedding.wcovBy_of_apply := WCovBy.of_image
124+
125+ @[deprecated (since := "2025-11-07")] alias OrderIso.map_wcovBy := apply_wcovBy_apply_iff
135126
136127end Preorder
137128
@@ -309,18 +300,9 @@ theorem apply_covBy_apply_iff {E : Type*} [EquivLike E α β] [OrderIsoClass E
309300theorem covBy_of_eq_or_eq (hab : a < b) (h : ∀ c, a ≤ c → c ≤ b → c = a ∨ c = b) : a ⋖ b :=
310301 ⟨hab, fun c ha hb => (h c ha.le hb.le).elim ha.ne' hb.ne⟩
311302
312- theorem OrderEmbedding.covBy_of_apply {α β : Type *} [Preorder α] [Preorder β]
313- (f : α ↪o β) {x y : α} (h : f x ⋖ f y) : x ⋖ y := by
314- use f.lt_iff_lt.1 h.1
315- intro a
316- rw [← f.lt_iff_lt, ← f.lt_iff_lt]
317- apply h.2
318-
319- theorem OrderIso.map_covBy {α β : Type *} [Preorder α] [Preorder β]
320- (f : α ≃o β) {x y : α} : f x ⋖ f y ↔ x ⋖ y := by
321- use f.toOrderEmbedding.covBy_of_apply
322- conv_lhs => rw [← f.symm_apply_apply x, ← f.symm_apply_apply y]
323- exact f.symm.toOrderEmbedding.covBy_of_apply
303+ @[deprecated (since := "2025-11-07")] alias OrderEmbedding.covBy_of_apply := CovBy.of_image
304+
305+ @[deprecated (since := "2025-11-07")] alias OrderIso.map_covBy := apply_covBy_apply_iff
324306
325307end Preorder
326308
0 commit comments