Theorems · Theorem · Lie groups
Specializes.zsmul
∀ {G : Type u_1} [inst : SubNegMonoid G] [inst_1 : TopologicalSpace G] [ContinuousAdd G] [ContinuousNeg G] {x y : G},
x ⤳ y → ∀ (m : ℤ), (m • x) ⤳ (m • y)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousAddstatement and proof · cited by 777
- Specializesstatement and proof · cited by 176
- ContinuousNegstatement and proof · cited by 119
- natCast_zsmulproof · cited by 118
- SubNegMonoidstatement and proof · cited by 79
- negSucc_zsmulproof · cited by 45
- Specializes.nsmulproof · cited by 2
- Specializes.negproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Inseparable.zsmulproof · cited by 0