Theorems · Theorem · group theory
DivisibleHull.mk_add_mk_left
∀ {M : Type u_1} [inst : AddCommMonoid M] {m1 m2 : M} {s : ℕ+},
DivisibleHull.mk m1 s + DivisibleHull.mk m2 s = DivisibleHull.mk (m1 + m2) s- Defined in
- Mathlib.GroupTheory.DivisibleHull
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 32 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.
Cites11
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_mulproof · cited by 2,841
- nonZeroDivisorsstatement · cited by 895
- PNatstatement and proof · cited by 392
- smul_smulproof · cited by 360
- smul_addproof · cited by 263
- PNat.valproof · cited by 226
- DivisibleHullstatement and proof · cited by 30
- DivisibleHull.mkstatement and proof · cited by 19
- DivisibleHull.mk_add_mkproof · cited by 1
- DivisibleHull.mk_eq_mkproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- DivisibleHull.neg_mkproof · cited by 0
- DivisibleHull.nsmul_mkproof · cited by 0
- DivisibleHull.coe_addproof · cited by 0