Theorems · Theorem · functional analysis
ContinuousLinearMap.ofIsTopCompl_zero
∀ {R : Type u_1} [inst : Ring R] {E : Type u_2} {F : Type u_3} [inst_1 : TopologicalSpace E] [inst_2 : AddCommGroup E]
[inst_3 : Module R E] [inst_4 : IsTopologicalAddGroup E] [inst_5 : TopologicalSpace F] [inst_6 : AddCommGroup F]
[inst_7 : Module R F] [inst_8 : ContinuousAdd F] {p q : Submodule R E} (h : Submodule.IsTopCompl p q),
ContinuousLinearMap.ofIsTopCompl h 0 0 = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- ContinuousLinearMapstatement · cited by 5,352
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- ContinuousAddstatement and proof · cited by 777
- ContinuousLinearMap.extproof · cited by 320
- zero_applyproof · cited by 251
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.