Theorems · Theorem · general topology
ContinuousMap.ideal_gc
∀ (X : Type u_1) (R : Type u_2) [inst : TopologicalSpace X] [inst_1 : Semiring R] [inst_2 : TopologicalSpace R] [inst_3 : IsTopologicalSemiring R], GaloisConnection ContinuousMap.setOfIdeal (ContinuousMap.idealOfSet R)
- Defined in
- Mathlib.Topology.ContinuousMap.Ideals
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Semiringstatement and proof · cited by 13,802
- Idealstatement and proof · cited by 4,748
- Compl.complproof · cited by 2,925
- ContinuousMapstatement and proof · cited by 2,491
- IsTopologicalSemiringstatement and proof · cited by 442
- GaloisConnectionstatement · cited by 253
- ContinuousMap.idealOfSetstatement and proof · cited by 16
- ContinuousMap.setOfIdealstatement and proof · cited by 12
- ContinuousMap.mem_setOfIdealproof · cited by 4
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