Mathlib Map

Theorems · Theorem · group theory

AddSubmonoid.mk_vadd

∀ {M' : Type u_1} {α : Type u_2} [inst : AddZeroClass M'] [inst_1 : VAdd M' α] {S : AddSubmonoid M'} (g : M')
  (hg : g ∈ S) (a : α), ⟨g, hg⟩ +ᵥ a = g +ᵥ a
Defined in
Mathlib.Algebra.Group.Submonoid.MulAction
Cited by
2 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
AddZeroClassVAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NumberField.mixedEmbedding.fundamentalCone.unit_smul_mem_iff_mem_torsion · cited by 1fundamentalCone.unit_smul…orbit_fixingAddSubgroup_compl_subset · cited by 0orbit_fixingAddSubgroup_c…HVAdd.hVAdd · cited by 1820HVAdd.hVAddAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidVAdd · cited by 616VAddAddSubmonoid.mk_vaddCITED BYCITES

Cites4

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

Cited by2

Results whose statement or proof uses this declaration.