Theorems · Theorem · group theory
AddSemiconjBy.vadd_right
∀ {M : Type u_1} {α : Type u_5} [inst : VAdd M α] [inst_1 : Add α] [VAddCommClass M α α] [VAddAssocClass M α α]
{x a b : α}, AddSemiconjBy x a b → ∀ (r : M), AddSemiconjBy x (r +ᵥ a) (r +ᵥ b)- Defined in
- Mathlib.Algebra.Group.Action.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HVAdd.hVAddstatement and proof · cited by 1,820
- VAddstatement and proof · cited by 616
- VAddAssocClassstatement and proof · cited by 60
- AddSemiconjBystatement and proof · cited by 56
- VAddCommClassstatement and proof · cited by 41
- AddSemiconjBy.eqproof · cited by 10
- vadd_add_assocproof · cited by 8
- add_vadd_commproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- AddSemiconjBy.vadd_right_iffproof · cited by 1
- AddCommute.vadd_rightproof · cited by 0