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Theorems · Definition · group theory

DivisibleHull.mk

{M : Type u_1} → [inst : AddCommMonoid M] → M → ℕ+ → DivisibleHull M

Create an element m / s.

Defined in
Mathlib.GroupTheory.DivisibleHull
Cited by
19 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DivisibleHull.coe · cited by 5DivisibleHull.coeDivisibleHull.mk_add_mk_left · cited by 3DivisibleHull.mk_add_mk_l…DivisibleHull.liftOn · cited by 2DivisibleHull.liftOnDivisibleHull.mk_zero · cited by 2DivisibleHull.mk_zeroDivisibleHull.liftOn₂ · cited by 1DivisibleHull.liftOn₂DivisibleHull.mk_add_mk · cited by 1DivisibleHull.mk_add_mkDivisibleHull.mk_eq_mk · cited by 1DivisibleHull.mk_eq_mkDivisibleHull.mk_left_injective · cited by 1DivisibleHull.mk_left_inj…DivisibleHull.nnqsmul_mk · cited by 1DivisibleHull.nnqsmul_mkDivisibleHull.qsmul_mk · cited by 1DivisibleHull.qsmul_mkDivisibleHull.zsmul_mk · cited by 1DivisibleHull.zsmul_mkDivisibleHull.archimedeanClassOrderIso_symm_apply · cited by 0DivisibleHull.archimedean…DivisibleHull.ind · cited by 0DivisibleHull.indDivisibleHull.liftOn_mk · cited by 0DivisibleHull.liftOn_mkDivisibleHull.liftOn₂_mk · cited by 0DivisibleHull.liftOn₂_mkDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidPNat · cited by 392PNatLocalizedModule.mk · cited by 73LocalizedModule.mkDivisibleHull · cited by 30DivisibleHullPNat.equivNonZeroDivisorsNat · cited by 6PNat.equivNonZeroDivisors…DivisibleHull.mkCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by22

Results whose statement or proof uses this declaration.