Theorems · Theorem · group theory
SubAddAction.vadd_of_tower_mem
∀ {S : Type u'} {R : Type u} {M : Type v} [inst : AddMonoid R] [inst_1 : AddAction R M] [inst_2 : VAdd S R]
[inst_3 : VAdd S M] [VAddAssocClass S R M] (p : SubAddAction R M) (s : S) {x : M}, x ∈ p → s +ᵥ x ∈ p- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- VAddstatement and proof · cited by 616
- zero_vaddproof · cited by 95
- SubAddActionstatement and proof · cited by 86
- VAddAssocClassstatement and proof · cited by 60
- vadd_assocproof · cited by 18
- SubAddAction.vadd_memproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- SubAddAction.vadd_mem_iff'proof · cited by 0