Theorems · Theorem · Lie groups
Continuous.fun_inv
∀ {G : Type u_1} {X : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace G] [inst_2 : Inv G]
[ContinuousInv G] {f : X → G}, Continuous f → Continuous fun i => (f i)⁻¹Eta-expanded form of Continuous.inv
- Defined in
- Mathlib.Topology.Algebra.Group.Defs
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Continuousstatement · cited by 2,592
- ContinuousInvstatement · cited by 89
- Continuous.invproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- continuous_zpowproof · cited by 8
- IsClosed.smul_left_of_isCompactproof · cited by 5
- isUniformGroup_of_commGroupproof · cited by 4
- Matrix.SpecialLinearGroup.continuous_toGLproof · cited by 2
- Topology.IsInducing.continuousInvproof · cited by 1
- ENNReal.continuous_zpowproof · cited by 0
- ContinuousInv.inducedproof · cited by 0