Theorems · Theorem · Lie groups
Filter.HasBasis.mul_self
∀ {ι : Type u_1} {M : Type u_3} [inst : TopologicalSpace M] [inst_1 : MulOneClass M] [ContinuousMul M] {p : ι → Prop}
{s : ι → Set M}, (nhds 1).HasBasis p s → (nhds 1).HasBasis p fun i => s i * s i- Defined in
- Mathlib.Topology.Algebra.Monoid
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterproof · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- SProd.sprodproof · cited by 1,750
- MulOneClassstatement and proof · cited by 1,018
- Filter.mapproof · cited by 819
- Filter.HasBasisstatement and proof · cited by 604
- ContinuousMulstatement and proof · cited by 343
- Set.mulstatement · cited by 297
- Filter.HasBasis.mapproof · cited by 51
- Filter.HasBasis.prod_selfproof · cited by 19
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