Theorems · Theorem · order theory
Order.krullDim_eq_top
∀ {α : Type u_1} [inst : Preorder α] [InfiniteDimensionalOrder α], Order.krullDim α = ⊤- Defined in
- Mathlib.Order.KrullDimension
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Preorderstatement and proof · cited by 7,952
- ENatstatement and proof · cited by 4,985
- Bot.botproof · cited by 4,720
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- WithBotstatement and proof · cited by 1,498
- le_topproof · cited by 411
- RelSeries.lengthproof · cited by 195
- top_le_iffproof · cited by 175
- RelSeries.toFunproof · cited by 114
- not_le_of_gtproof · cited by 97
Cited by2
Results whose statement or proof uses this declaration.
- Order.krullDim_eq_top_iffproof · cited by 1
- Order.le_krullDim_iffproof · cited by 0