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Theorems · Theorem · Lie groups

ContinuousMulEquiv.continuous_toFun

∀ {G : Type u} [inst : TopologicalSpace G] {H : Type v} [inst_1 : TopologicalSpace H] [inst_2 : Mul G] [inst_3 : Mul H]
  (self : G ≃ₜ* H), Continuous self.toFun

The forward map of a homeomorphism is a continuous function.

Defined in
Mathlib.Topology.Algebra.ContinuousMonoidHom
Cited by
0 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpaceMulMul
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Around this declaration

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ContinuousMulEquiv.symm · cited by 27ContinuousMulEquiv.symmContinuousMulEquiv.toHomeomorph · cited by 8ContinuousMulEquiv.toHome…TopologicalSpace · cited by 24529TopologicalSpaceContinuous · cited by 2592ContinuousEquiv.toFun · cited by 279Equiv.toFunMulEquiv.toEquiv · cited by 126MulEquiv.toEquivContinuousMulEquiv · cited by 65ContinuousMulEquivContinuousMulEquiv.toMulEquiv · cited by 13ContinuousMulEquiv.toMulE…ContinuousMulEquiv.continuous…CITED BYCITES

Cites6

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Cited by2

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