Theorems · Theorem · ring theory
QuotientRing.isOpenMap_coe
∀ {R : Type u_1} [inst : TopologicalSpace R] [inst_1 : CommRing R] (N : Ideal R) [IsTopologicalRing R],
IsOpenMap ⇑(Ideal.Quotient.mk N)- 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
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement · cited by 2,301
- Ideal.Quotient.mkstatement · cited by 610
- IsTopologicalRingstatement and proof · cited by 402
- IsOpenMapstatement · cited by 253
- QuotientAddGroup.isOpenMap_coeproof · cited by 3
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