Theorems · Theorem · order theory
Order.krullDim_of_isSimpleOrder
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : BoundedOrder α] [IsSimpleOrder α], Order.krullDim α = 1- Defined in
- Mathlib.Order.KrullDimension
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- ENatstatement · cited by 4,985
- WithBotstatement · cited by 1,498
- BoundedOrderstatement and proof · cited by 270
- Order.krullDimstatement · cited by 82
- IsSimpleOrderstatement and proof · cited by 54
- Order.krullDim_eq_one_iff_of_boundedOrderproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.