Theorems · Theorem · Lie groups
Specializes.zpow
∀ {G : Type u_1} [inst : DivInvMonoid G] [inst_1 : TopologicalSpace G] [ContinuousMul G] [ContinuousInv G] {x y : G},
x ⤳ y → ∀ (m : ℤ), (x ^ m) ⤳ (y ^ m)- 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
- ContinuousMulstatement and proof · cited by 343
- zpow_natCastproof · cited by 271
- Specializesstatement and proof · cited by 176
- DivInvMonoidstatement and proof · cited by 103
- zpow_negSuccproof · cited by 92
- ContinuousInvstatement and proof · cited by 89
- Specializes.powproof · cited by 2
- Specializes.invproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Inseparable.zpowproof · cited by 0