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Theorems · Theorem · order theory

bddBelow_Icc

∀ {α : Type u_1} [inst : Preorder α] {a b : α}, BddBelow (Set.Icc b a)
Defined in
Mathlib.Order.Bounds.Basic
Cited by
8 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound
Assumes
Preorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.hittingBtwn_le · cited by 8MeasureTheory.hittingBtwn…MeasureTheory.hittingBtwn_eq_hittingBtwn_of_exists · cited by 3MeasureTheory.hittingBtwn…MeasureTheory.hittingBtwn_le_of_mem · cited by 2MeasureTheory.hittingBtwn…ContinuousOn.image_uIcc · cited by 2ContinuousOn.image_uIccbddBelow_Ico · cited by 0bddBelow_IcobddBelow_Ioc · cited by 0bddBelow_IocbddBelow_Ioo · cited by 0bddBelow_IooMeasureTheory.notMem_of_lt_hittingBtwn · cited by 0MeasureTheory.notMem_of_l…Preorder · cited by 7952PreorderSet.Icc · cited by 1702Set.IccBddBelow · cited by 401BddBelowlowerBounds · cited by 212lowerBoundsbddBelow_IccCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by8

Results whose statement or proof uses this declaration.