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Theorems · Definition · order theory

OrderIso.subRight

{α : Type u} → [inst : AddGroup α] → [inst_1 : LE α] → [AddRightMono α] → α → α ≃o α

x ↦ x - a as an order isomorphism.

Defined in
Mathlib.Algebra.Order.Group.OrderIso
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
AddGroupLEAddRightMono
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

sup_sub · cited by 1sup_subinf_sub · cited by 0inf_subOrderIso.subRight_apply · cited by 0OrderIso.subRight_applyOrderIso.subRight_symm_apply · cited by 0OrderIso.subRight_symm_ap…Equiv · cited by 8337EquivAddGroup · cited by 4410AddGroupOrderIso · cited by 874OrderIsoAddRightMono · cited by 367AddRightMonosub_le_sub_iff_right · cited by 15sub_le_sub_iff_rightEquiv.subRight · cited by 10Equiv.subRightOrderIso.subRightCITED BYCITES

Cites6

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

Cited by4

Results whose statement or proof uses this declaration.