Theorems · Theorem · ring theory
Ideal.coe_closure
∀ {R : Type u_1} [inst : TopologicalSpace R] [inst_1 : Ring R] [inst_2 : IsTopologicalRing R] (I : Ideal R),
↑I.closure = closure ↑I- Defined in
- Mathlib.Topology.Algebra.Ring.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
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
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- closurestatement · cited by 1,254
- IsTopologicalRingstatement and proof · cited by 402
- Ideal.closurestatement · cited by 8
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