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Theorems · Theorem · order theory

transGen_wcovBy_of_le

∀ {α : Type u_2} [inst : Preorder α] [LocallyFiniteOrder α] {x y : α},
  x ≤ y → Relation.TransGen (fun x1 x2 => x1 ⩿ x2) x y
Defined in
Mathlib.Order.Interval.Finset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PreorderLocallyFiniteOrder
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Around this declaration

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le_iff_transGen_wcovBy · cited by 2le_iff_transGen_wcovByPreorder · cited by 7952PreorderLocallyFiniteOrder · cited by 658LocallyFiniteOrderWCovBy · cited by 107WCovBytransGen_wcovBy_of_leCITED BYCITES

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Cited by1

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