Theorems · Theorem · commutative algebra
IsLinearTopology.hasBasis_right_ideal
∀ {R : Type u_1} [inst : Ring R] [inst_1 : TopologicalSpace R] [IsLinearTopology Rᵐᵒᵖ R],
(nhds 0).HasBasis (fun I => ↑I ∈ nhds 0) fun I => ↑I- Defined in
- Mathlib.Topology.Algebra.LinearTopology
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- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement · cited by 8,199
- Filterstatement · cited by 8,121
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- nhdsstatement · cited by 5,554
- MulOppositestatement and proof · cited by 1,135
- Filter.HasBasisstatement · cited by 604
- IsLinearTopologystatement and proof · cited by 83
- IsLinearTopology.hasBasis_submoduleproof · cited by 7
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