Theorems · Theorem · group theory
AddAction.is_zero_preprimitive
∀ (M : Type u_1) (α : Type u_2) [inst : AddGroup M] [inst_1 : AddAction M α], AddAction.IsMultiplyPreprimitive M α 0
Any action is 0-preprimitive.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 93 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.
- Setproof · cited by 53,352
- ENatproof · cited by 4,985
- AddGroupstatement and proof · cited by 4,410
- one_ne_zeroproof · cited by 885
- AddActionstatement and proof · cited by 820
- CharP.cast_eq_zeroproof · cited by 357
- Set.encardproof · cited by 327
- add_eq_zeroproof · cited by 19
- AddAction.IsMultiplyPreprimitivestatement · cited by 12
- Set.encard_eq_zeroproof · cited by 12
- AddAction.is_zero_pretransitiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.isMultiplyPreprimitive_ofStabilizerproof · cited by 1
- AddAction.isMultiplyPreprimitive_of_isMultiplyPretransitive_succproof · cited by 1