Theorems · Definition · group theory
SubAddAction.ofFixingAddSubgroup.append
{M : Type u_1} →
{α : Type u_2} →
[inst : AddGroup M] →
[inst_1 : AddAction M α] →
{s : Set α} → {n : ℕ} → [Finite ↑s] → (Fin n ↪ ↥(SubAddAction.ofFixingAddSubgroup M s)) → Fin (s.ncard + n) ↪ αAppend Fin m ↪ ofFixingSubgroup M s at the end of an enumeration of s.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Equivproof · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Finitestatement and proof · cited by 3,029
- Function.Embeddingstatement and proof · cited by 988
- AddActionstatement and proof · cited by 820
- Set.ncardstatement and proof · cited by 344
- Equiv.toEmbeddingproof · cited by 254
- SubAddActionstatement · cited by 86
- fixingAddSubgroupstatement · cited by 50
Cited by3
Results whose statement or proof uses this declaration.
- SubAddAction.ofFixingAddSubgroup.isMultiplyPretransitiveproof · cited by 3
- SubAddAction.ofFixingAddSubgroup.append_leftstatement · cited by 1
- SubAddAction.ofFixingAddSubgroup.append_rightstatement · cited by 1