Theorems · Theorem · group theory
AddAction.IsTrivialBlock.vadd
∀ {M : Type u_3} {α : Type u_4} [inst : AddGroup M] [inst_1 : AddAction M α] {B : Set α},
AddAction.IsTrivialBlock B → ∀ (g : M), AddAction.IsTrivialBlock (g +ᵥ B)- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- Set.univproof · cited by 3,945
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- Set.Subsingletonproof · cited by 276
- AddAction.injectiveproof · cited by 24
- Set.image_univ_of_surjectiveproof · cited by 13
- AddAction.IsTrivialBlockstatement and proof · cited by 11
- Set.image_vaddproof · cited by 6
- Function.Injective.subsingleton_image_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.IsTrivialBlock.vadd_iffproof · cited by 2