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Theorems · Theorem · order theory

OrderEmbedding.ofStrictMono.congr_simp

∀ {α : Type u_6} {β : Type u_7} [inst : LinearOrder α] [inst_1 : Preorder β] (f f_1 : α → β) (e_f : f = f_1)
  (h : StrictMono f), OrderEmbedding.ofStrictMono f h = OrderEmbedding.ofStrictMono f_1 ⋯
Defined in
Mathlib.Order.Hom.Basic
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
LinearOrderPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

List.duplicate_iff_exists_distinct_get · cited by 0List.duplicate_iff_exists…LinearOrder · cited by 8572LinearOrderPreorder · cited by 7952PreorderStrictMono · cited by 706StrictMonoOrderEmbedding · cited by 619OrderEmbeddingOrderEmbedding.ofStrictMono · cited by 15OrderEmbedding.ofStrictMo…ofStrictMono.congr_simpCITED BYCITES

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Cited by1

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