Theorems · Theorem · group theory
DivisibleHull.nnqsmul_mk
∀ {M : Type u_1} [inst : AddCommMonoid M] (a : ℚ≥0) (m : M) (s : ℕ+),
a • DivisibleHull.mk m s = DivisibleHull.mk (a.num • m) (⟨a.den, ⋯⟩ * s)- Defined in
- Mathlib.GroupTheory.DivisibleHull
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Algebra.algebraMapproof · cited by 4,706
- nonZeroDivisorsstatement · cited by 895
- NNRatstatement and proof · cited by 523
- PNatstatement and proof · cited by 392
- IsLocalization.mk'proof · cited by 218
- eq_natCastproof · cited by 104
- LocalizedModule.mkproof · cited by 73
- NNRat.numstatement and proof · cited by 53
- NNRat.denstatement and proof · cited by 51
- DivisibleHullstatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- DivisibleHull.qsmul_mkproof · cited by 1