Theorems · Definition · order theory
GroupCone.oneLE
(H : Type u_1) → [inst : CommGroup H] → [inst_1 : PartialOrder H] → [IsOrderedMonoid H] → GroupCone H
The cone of elements that are at least 1.
- Defined in
- Mathlib.Algebra.Order.Group.Cone
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Submonoidproof · cited by 3,086
- CommGroupstatement and proof · cited by 990
- IsOrderedMonoidstatement and proof · cited by 577
- GroupConestatement · cited by 7
- Submonoid.oneLEproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- GroupCone.oneLE.congr_simpstatement and proof · cited by 0
- GroupCone.oneLE_toSubmonoidstatement · cited by 0
- GroupCone.coe_oneLEstatement · cited by 0
- GroupCone.mem_oneLEstatement · cited by 0