Theorems · Theorem · general topology
ContinuousMap.setOfTop_eq_univ
∀ {X : Type u_1} {R : Type u_2} [inst : TopologicalSpace X] [inst_1 : Semiring R] [inst_2 : TopologicalSpace R]
[inst_3 : IsTopologicalSemiring R] [Nontrivial R], ContinuousMap.setOfIdeal ⊤ = Set.univ- Defined in
- Mathlib.Topology.ContinuousMap.Ideals
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
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
- Semiringstatement and proof · cited by 13,802
- Top.topstatement · cited by 9,680
- Idealstatement · cited by 4,748
- Set.univstatement and proof · cited by 3,945
- ContinuousMapstatement · cited by 2,491
- Nontrivialstatement and proof · cited by 2,416
- one_ne_zeroproof · cited by 885
- IsTopologicalSemiringstatement and proof · cited by 442
- Submodule.mem_topproof · cited by 58
- Set.univ_subset_iffproof · cited by 49
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