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Theorems · Theorem · order theory

bddBelow_inv

∀ {G : Type u_2} [inst : Group G] [inst_1 : Preorder G] [MulLeftMono G] [MulRightMono G] {s : Set G},
  BddBelow s⁻¹ ↔ BddAbove s
Defined in
Mathlib.Algebra.Order.Group.Pointwise.Bounds
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupPreorderMulLeftMonoMulRightMono
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Around this declaration

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

BddAbove.inv · cited by 1BddAbove.invSet · cited by 53352SetPreorder · cited by 7952PreorderGroup · cited by 6238GroupBddAbove · cited by 620BddAboveMulLeftMono · cited by 410MulLeftMonoBddBelow · cited by 401BddBelowMulRightMono · cited by 263MulRightMonoSet.inv · cited by 132Set.invOrderIso.inv · cited by 27OrderIso.invOrderIso.bddBelow_preimage · cited by 2OrderIso.bddBelow_preimagebddBelow_invCITED BYCITES

Cites10

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Cited by1

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