Theorems · Inductive type · group theory
AddAction.IsPreprimitive
(G : Type u_1) → (X : Type u_2) → [VAdd G X] → Prop
An additive action is preprimitive if it is pretransitive and the only blocks are the trivial ones
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- VAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- VAddstatement · cited by 616
Cited by29
Results whose statement or proof uses this declaration.
- AddAction.IsPreprimitive.isTrivialBlock_of_isBlockstatement and proof · cited by 6
- AddAction.IsMultiplyPreprimitive.isPreprimitive_ofFixingAddSubgroupstatement · cited by 6
- AddAction.isMultiplyPreprimitive_iffstatement and proof · cited by 5
- AddAction.IsPreprimitive.of_surjectivestatement and proof · cited by 4
- AddAction.isPreprimitive_congrstatement and proof · cited by 4
- AddAction.IsPreprimitive.of_isTrivialBlock_basestatement · cited by 1
- AddAction.IsPreprimitive.of_isTrivialBlock_of_notMem_fixedPointsstatement · cited by 1
- AddAction.isCoatom_stabilizer_iff_preprimitivestatement · cited by 1
- AddAction.isMultiplyPreprimitive_ofStabilizerproof · cited by 1
- AddAction.isPreprimitive_fixingAddSubgroup_insert_iffstatement · cited by 1
- AddAction.isPreprimitive_ofFixingAddSubgroup_addConj_iffstatement · cited by 1
- AddAction.isPreprimitive_of_fixingAddSubgroup_empty_iffstatement · cited by 1