Theorems · Theorem · group theory
DivisibleHull.nsmul_mk
∀ {M : Type u_1} [inst : AddCommMonoid M] (a : ℕ) (m : M) (s : ℕ+),
a • DivisibleHull.mk m s = DivisibleHull.mk (a • m) s- Defined in
- Mathlib.GroupTheory.DivisibleHull
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- one_smulproof · cited by 1,374
- nonZeroDivisorsstatement · cited by 895
- PNatstatement and proof · cited by 392
- zero_nsmulproof · cited by 137
- add_nsmulproof · cited by 44
- DivisibleHullstatement · cited by 30
- DivisibleHull.mkstatement and proof · cited by 19
- DivisibleHull.mk_add_mk_leftproof · cited by 3
- DivisibleHull.mk_zeroproof · cited by 2
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