Theorems · Definition · order theory
WellFoundedLT
(α : Type u_1) → [LT α] → Prop
A class for a well-founded relation <.
- Defined in
- Mathlib.Order.RelClasses
- Cited by
- 491 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- LT
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsWellFoundedproof · cited by 18
Cited by655
Results whose statement or proof uses this declaration.
- Ordinal.cofproof · cited by 125
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- Profinite.NobelingProof.ordstatement and proof · cited by 51
- CategoryTheory.TransfiniteCompositionOfShape.Fstatement and proof · cited by 47
- Profinite.NobelingProof.containedstatement and proof · cited by 34
- CategoryTheory.TransfiniteCompositionOfShapestatement · cited by 32
- StrictMono.le_applystatement and proof · cited by 32
- InnerProductSpace.gramSchmidtstatement and proof · cited by 30
- HomotopicalAlgebra.ReedyStructurestatement · cited by 30
- CategoryTheory.SmallObject.SuccStruct.Iterationstatement · cited by 29
- CategoryTheory.MorphismProperty.transfiniteCompositionsOfShapestatement and proof · cited by 25
- CategoryTheory.MorphismProperty.TransfiniteCompositionOfShape.toTransfiniteCompositionOfShapestatement and proof · cited by 24
Showing the 200 most cited of 655.