Theorems · Theorem · group theory
DivisibleHull.mk_add_mk
∀ {M : Type u_1} [inst : AddCommMonoid M] {m1 m2 : M} {s1 s2 : ℕ+},
DivisibleHull.mk m1 s1 + DivisibleHull.mk m2 s2 = DivisibleHull.mk (↑s2 • m1 + ↑s1 • m2) (s1 * s2)- Defined in
- Mathlib.GroupTheory.DivisibleHull
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 31 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.
Cites7
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
- nonZeroDivisorsstatement · cited by 895
- PNatstatement and proof · cited by 392
- PNat.valstatement · cited by 226
- DivisibleHullstatement · cited by 30
- DivisibleHull.mkstatement · cited by 19
- LocalizedModule.mk_add_mkproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- DivisibleHull.mk_add_mk_leftproof · cited by 3