Theorems · Theorem · functional analysis
Submodule.quotientEquivOfIsTopCompl_comp_mkQL
∀ {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} [inst_4 : IsTopologicalAddGroup M] (h : Submodule.IsTopCompl p q),
↑(p.quotientEquivOfIsTopCompl q h) ∘SL p.mkQL = q.projectionOntoL p ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- 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
- HasQuotient.Quotientstatement · cited by 2,301
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- ContinuousLinearMap.compstatement · cited by 709
- ContinuousLinearEquiv.toContinuousLinearMapstatement · cited by 448
- Submodule.IsTopComplstatement and proof · cited by 89
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