Theorems · Theorem · order theory
Order.length_le_coheight
∀ {α : Type u_1} [inst : Preorder α] {x : α} {p : LTSeries α}, x ≤ RelSeries.head p → ↑p.length ≤ Order.coheight x- Defined in
- Mathlib.Order.KrullDimension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 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.
Cites9
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 · cited by 4,985
- RelSeries.lengthstatement · cited by 195
- RelSeries.headstatement and proof · cited by 89
- LTSeriesstatement and proof · cited by 87
- Order.coheightstatement · cited by 74
- Order.length_le_heightproof · cited by 5
- RelSeries.last_reverseproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Order.length_le_coheight_headproof · cited by 0