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ContinuousInv.continuous_inv

∀ {G : Type u} {inst : TopologicalSpace G} {inst_1 : Inv G} [self : ContinuousInv G], Continuous fun a => a⁻¹
Defined in
Mathlib.Topology.Algebra.Group.Defs
Cited by
27 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
ContinuousInv
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Around this declaration

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

Filter.Tendsto.inv · cited by 7Tendsto.invENNReal.continuous_rpow_const · cited by 5ENNReal.continuous_rpow_c…IsCompact.inv · cited by 4IsCompact.invIsOpen.inv · cited by 4IsOpen.invContinuous.inv · cited by 4Continuous.invcontinuous_mabs · cited by 3continuous_mabsPath.inv · cited by 3Path.invcontinuousInv_sInf · cited by 2continuousInv_sInfIsClosed.inv · cited by 2IsClosed.invHasProd.inv · cited by 2HasProd.invtendsto_inv_nhdsGE · cited by 1tendsto_inv_nhdsGEtendsto_inv_nhdsGT · cited by 1tendsto_inv_nhdsGTMeasureTheory.Measure.integral_isMulLeftInvariant_isMulRightInvariant_combo · cited by 1Measure.integral_isMulLef…tendsto_inv_nhdsLE · cited by 1tendsto_inv_nhdsLEtendsto_inv_nhdsLT · cited by 1tendsto_inv_nhdsLTTopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousContinuousInv · cited by 89ContinuousInvContinuousInv.continuous_invCITED BYCITES

Cites3

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

Cited by28

Results whose statement or proof uses this declaration.