Theorems · Theorem · Lie groups
mulRight_continuous
∀ {R : Type u_1} [inst : TopologicalSpace R] [inst_1 : NonUnitalNonAssocRing R] [IsSemitopologicalRing R] (x : R),
Continuous ⇑(AddMonoidHom.mulRight x)In a topological semiring, the right-multiplication AddMonoidHom is continuous.
- Defined in
- Mathlib.Topology.Algebra.Ring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- AddMonoidHomstatement · cited by 3,230
- Continuousstatement · cited by 2,592
- NonUnitalNonAssocRingstatement and proof · cited by 354
- continuous_idproof · cited by 192
- IsSemitopologicalRingstatement and proof · cited by 130
- AddMonoidHom.mulRightstatement · cited by 20
- Continuous.mul_constproof · cited by 15
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