Theorems · Theorem · order theory
Order.height_enat
∀ (n : ℕ∞), Order.height n = n
- Defined in
- Mathlib.Order.KrullDimension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- ENat.recTopCoeproof · cited by 75
- Order.heightstatement · cited by 67
- Order.height_top_eq_krullDimproof · cited by 6
- Order.height_coe_withTopproof · cited by 3
- Order.krullDim_enatproof · cited by 1
- Order.height_natproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsDiscreteValuationRing.coheight_pow_maximalIdealproof · cited by 1