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Theorems · Definition · Lie groups

ContinuousMulEquiv.refl

(M : Type u_1) → [inst : TopologicalSpace M] → [inst_1 : Mul M] → M ≃ₜ* M

The identity map is a continuous multiplicative isomorphism.

Defined in
Mathlib.Topology.Algebra.ContinuousMonoidHom
Cited by
6 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
Assumes
TopologicalSpaceMul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ContinuousMulEquiv.self_trans_symm · cited by 1ContinuousMulEquiv.self_t…MeasureTheory.mulEquivHaarChar_refl · cited by 1MeasureTheory.mulEquivHaa…MeasureTheory.mulEquivHaarChar_symm · cited by 0MeasureTheory.mulEquivHaa…ContinuousMulEquiv.coe_refl · cited by 0ContinuousMulEquiv.coe_re…ContinuousMulEquiv.refl_apply · cited by 0ContinuousMulEquiv.refl_a…ContinuousMulEquiv.symm_trans_self · cited by 0ContinuousMulEquiv.symm_t…TopologicalSpace · cited by 24529TopologicalSpaceMulEquiv · cited by 1142MulEquivContinuousMulEquiv · cited by 65ContinuousMulEquivMulEquiv.refl · cited by 33MulEquiv.reflContinuousMulEquiv.reflCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.