Theorems · Theorem · group theory
AddAction.is_zero_preprimitive_iff
∀ (M : Type u_1) (α : Type u_2) [inst : AddGroup M] [inst_1 : AddAction M α], AddAction.IsMultiplyPreprimitive M α 1 ↔ AddAction.IsPreprimitive M α
An action is preprimitive iff it is 1-preprimitive.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- AddActionstatement and proof · cited by 820
- Set.encardproof · cited by 327
- fixingAddSubgroupproof · cited by 50
- SubAddAction.ofFixingAddSubgroupproof · cited by 32
- AddAction.IsPreprimitivestatement and proof · cited by 25
- Set.encard_emptyproof · cited by 17
- ENat.one_ne_topproof · cited by 15
- AddAction.IsMultiplyPreprimitivestatement and proof · cited by 12
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