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Theorems · Theorem · linear algebra

Submodule.Quotient.quot_mk_eq_mk

∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M] {p : Submodule R M}
  (x : M), Quot.mk (⇑p.quotientRel) x = Submodule.Quotient.mk x
Defined in
Mathlib.LinearAlgebra.Quotient.Defs
Cited by
3 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RingAddCommGroupModule
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Around this declaration

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

LieSubalgebra.normalizer_eq_self_iff · cited by 1LieSubalgebra.normalizer_…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 7192SubmoduleSubmodule.Quotient.mk · cited by 184Quotient.mkSubmodule.quotientRel · cited by 18Submodule.quotientRelQuotient.quot_mk_eq_mkCITED BYCITES

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Cited by3

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