Theorems · Theorem · functional analysis
Submodule.isTopCompl_comm
∀ {R : Type u_1} [inst : Ring R] {M : Type u_2} [inst_1 : TopologicalSpace M] [inst_2 : AddCommGroup M]
[inst_3 : Module R M] {p q : Submodule R M} [ContinuousSub M], Submodule.IsTopCompl p q ↔ Submodule.IsTopCompl q p- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- Submodule.IsTopComplstatement · cited by 89
- ContinuousSubstatement and proof · cited by 48
- Submodule.IsTopCompl.symmproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.IsCompl.isTopCompl_iff_continuous_quotientEquivOfIsComplproof · cited by 0