Theorems · Theorem · linear algebra
LinearMap.quotientInfEquivSupQuotient_surjective
∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] (p p' : Submodule R M),
Function.Surjective ⇑(LinearMap.quotientInfToSupQuotient p p')- Defined in
- Mathlib.LinearAlgebra.Isomorphisms
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingAddCommGroupModule
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Top.topproof · cited by 9,680
- Ringstatement and proof · cited by 7,463
- Submodulestatement and proof · cited by 7,192
- HasQuotient.Quotientstatement and proof · cited by 2,301
- LinearMap.rangeproof · cited by 893
- map_subproof · cited by 565
- Submodule.subtypestatement and proof · cited by 480
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