Order.exists_series_of_le_height

∀ {α : Type u_1} [inst : Preorder α] (a : α) {n : ℕ}, ↑n ≤ Order.height a → ∃ p, RelSeries.last p = a ∧ p.length = n

There exists a series ending in an element for any length up to the element’s height.

Defined in: Mathlib.Order.KrullDimension
Cited by: 4 results in Mathlib
Foundations: Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Preorder

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