Theorems · Theorem · functional analysis
Submodule.isOpenQuotientMap_mkQ
∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M]
[inst_3 : TopologicalSpace M] (S : Submodule R M) [ContinuousAdd M], IsOpenQuotientMap ⇑S.mkQ- Defined in
- Mathlib.Topology.Algebra.Module.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- HasQuotient.Quotientstatement · cited by 2,301
- ContinuousAddstatement and proof · cited by 777
- Submodule.mkQstatement · cited by 232
- IsOpenQuotientMapstatement · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.isOpenQuotientMap_mkQLproof · cited by 1