Theorems · Theorem · linear algebra
Submodule.dualRestrict_def
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(W : Submodule R M), W.dualRestrict = W.subtype.dualMap- Defined in
- Mathlib.LinearAlgebra.Dual.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- Submodulestatement and proof · cited by 7,192
- Module.Dualstatement · cited by 583
- Submodule.subtypestatement · cited by 480
- LinearMap.dualMapstatement · cited by 52
- Submodule.dualRestrictstatement · cited by 8
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