Theorems · Theorem · order theory
Order.coheight_coe_withTop
∀ {α : Type u_1} [inst : Preorder α] (x : α), Order.coheight ↑x = Order.coheight x + 1- Defined in
- Mathlib.Order.KrullDimension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- ENatstatement · cited by 4,985
- WithTopstatement · cited by 3,754
- WithTop.somestatement · cited by 1,128
- Order.coheightstatement · cited by 74
- Order.height_coe_withBotproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Order.coheight_coe_enatproof · cited by 0