Theorems · Theorem · functional analysis
Submodule.projectionL_apply_right
∀ {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) (x : ↥q), (p.projectionL q h) ↑x = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- ContinuousLinearMapstatement · cited by 5,352
- Submodule.IsTopComplstatement and proof · cited by 89
- Submodule.projectionLstatement · cited by 21
- Submodule.projectionL_apply_eq_zero_of_mem_rightproof · cited by 1
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