Theorems · Theorem · commutative algebra
QuotSMulTop.map_id
∀ {R : Type u_2} [inst : CommRing R] (r : R) (M : Type u_1) [inst_1 : AddCommGroup M] [inst_2 : Module R M],
(QuotSMulTop.map r) LinearMap.id = LinearMap.id- Defined in
- Mathlib.RingTheory.QuotSMulTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingAddCommGroupModule
Around this declaration
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Cites15
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 · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement · cited by 10,215
- Top.topstatement and proof · cited by 9,680
- Submodulestatement · cited by 7,192
- LinearMap.idstatement and proof · cited by 625
- DFunLike.extproof · cited by 240
- Function.Surjective.forallproof · cited by 214
- Submodule.pointwiseDistribMulActionstatement · cited by 105
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