Theorems · Theorem · group theory
AddAction.IsTrivialBlock.vadd_iff
∀ {M : Type u_3} {α : Type u_4} [inst : AddGroup M] [inst_1 : AddAction M α] {B : Set α} (g : M),
AddAction.IsTrivialBlock (g +ᵥ B) ↔ AddAction.IsTrivialBlock B- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- neg_vadd_vaddproof · cited by 34
- AddAction.IsTrivialBlockstatement and proof · cited by 11
- AddAction.IsTrivialBlock.vaddproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.IsPreprimitive.of_isTrivialBlock_of_notMem_fixedPointsproof · cited by 1
- AddAction.IsPreprimitive.of_isTrivialBlock_baseproof · cited by 1