Theorems · Theorem · functional analysis
Submodule.IsTopCompl.continuous_projectionOnto
∀ {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} (h : Submodule.IsTopCompl p q), Continuous ⇑(p.projectionOnto q ⋯)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 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
- Continuousstatement · cited by 2,592
- Submodule.IsTopComplstatement and proof · cited by 89
- Submodule.projectionOntostatement · cited by 81
- Submodule.IsTopCompl.isComplstatement and proof · cited by 44
Cited by2
Results whose statement or proof uses this declaration.
- Submodule.projectionOntoLproof · cited by 20
- Submodule.IsTopCompl.continuous_linearProjOfIsComplproof · cited by 0