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Theorems · Theorem · order theory

OrderEmbedding.wellFoundedGT

∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : Preorder β] [WellFoundedGT β] (f : α ↪o β),
  WellFoundedGT α

A preorder which embeds into a preorder in which (· > ·) is well-founded also has (· > ·) well-founded.

Defined in
Mathlib.Order.Hom.Basic
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
PreorderPreorderWellFoundedGT
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Submodule.IsNoetherian.of_isNoetherian_tensorProduct_of_faithfullyFlat · cited by 1IsNoetherian.of_isNoether…Preorder · cited by 7952PreorderOrderEmbedding · cited by 619OrderEmbeddingWellFoundedGT · cited by 114WellFoundedGTIsWellFounded.wf · cited by 43IsWellFounded.wfOrderEmbedding.wellFoundedGTCITED BYCITES

Cites4

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Cited by1

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