Theorems · Definition · order theory
LTSeries
(α : Type u_1) → [Preorder α] → Type u_1
If α is a preorder, a LTSeries is a relation series of the less than relation.
- Defined in
- Mathlib.Order.RelSeries
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Set.ofPredproof · cited by 6,101
- RelSeriesproof · cited by 129
Cited by96
Results whose statement or proof uses this declaration.
- Order.krullDimproof · cited by 82
- Order.heightproof · cited by 67
- LTSeries.mapstatement and proof · cited by 15
- Order.length_le_height_laststatement and proof · cited by 9
- LTSeries.longestOfstatement · cited by 8
- Order.krullDim_orderDualproof · cited by 7
- LTSeries.map_lengthstatement and proof · cited by 7
- LTSeries.strictMonostatement and proof · cited by 7
- Order.height_lestatement and proof · cited by 7
- Order.krullDim_le_of_strictMonoproof · cited by 6
- Order.height_top_eq_krullDimproof · cited by 6
- Order.krullDim_eq_iSup_lengthstatement and proof · cited by 5