Theorems · Theorem · group theory
SubAddAction.disjoint_val_image
∀ {M : Type u_1} {α : Type u_2} [inst : AddGroup M] [inst_1 : AddAction M α] {s : Set α}
{t : Set ↥(SubAddAction.ofFixingAddSubgroup M s)}, Disjoint s (Subtype.val '' t)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.imagestatement and proof · cited by 5,609
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- Disjointstatement · cited by 2,201
- AddActionstatement and proof · cited by 820
- Subtype.propproof · cited by 505
- SubAddActionstatement · cited by 86
- fixingAddSubgroupstatement · cited by 50
- SubAddAction.ofFixingAddSubgroupstatement and proof · cited by 32
- Set.disjoint_iffproof · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.ofFixingSubgroup.isMultiplyPreprimitiveproof · cited by 0