Theorems · Theorem · order theory
LTSeries.height_last_longestOf
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : FiniteDimensionalOrder α],
↑(Order.height (RelSeries.last (LTSeries.longestOf α))) = Order.krullDim α- Defined in
- Mathlib.Order.KrullDimension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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.ofPredstatement · cited by 6,101
- ENatstatement and proof · cited by 4,985
- iSupproof · cited by 2,415
- le_antisymmproof · cited by 2,068
- le_rflproof · cited by 1,558
- WithBotstatement and proof · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- RelSeries.lengthproof · cited by 195
- RelSeries.laststatement and proof · cited by 114
- LTSeriesproof · cited by 87
- Order.krullDimstatement · cited by 82
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.exists_isMaximal_heightproof · cited by 0