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Theorems · Theorem · commutative algebra

Submodule.coe_sub

∀ {R : Type u} {M : Type v} [inst : Ring R] [inst_1 : AddCommGroup M] {module_M : Module R M} (p : Submodule R M)
  (x y : ↥p), ↑(x - y) = ↑x - ↑y
Defined in
Mathlib.Algebra.Module.Submodule.Defs
Cited by
4 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
RingAddCommGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

sectionOfRetractionKerToTensorAux_prop · cited by 1sectionOfRetractionKerToT…EuclideanGeometry.orthogonalProjection_apply_mem · cited by 0EuclideanGeometry.orthogo…Ideal.quotientToQuotientRangePowQuotSucc_injective · cited by 0Ideal.quotientToQuotientR…Ideal.quotientToQuotientRangePowQuotSucc_surjective · cited by 0Ideal.quotientToQuotientR…Module · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupRing · cited by 7463RingSubmodule · cited by 7192SubmoduleAddSubgroupClass.coe_sub · cited by 6AddSubgroupClass.coe_subSubmodule.coe_subCITED BYCITES

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Cited by4

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