Theorems · Definition · group theory
AddAction.IsTrivialBlock
{X : Type u_2} → Set X → PropA trivial block is a Set X which is either a subsingleton or univ.
Note: It is not necessarily a block when the action is not by a group.
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.univproof · cited by 3,945
- Set.Subsingletonproof · cited by 276
Cited by13
Results whose statement or proof uses this declaration.
- AddAction.IsPreprimitive.isTrivialBlock_of_isBlockstatement · cited by 6
- AddAction.IsPreprimitive.of_surjectiveproof · cited by 4
- AddAction.isPreprimitive_congrproof · cited by 4
- AddAction.IsTrivialBlock.vadd_iffstatement and proof · cited by 2
- AddAction.IsPreprimitive.of_isTrivialBlock_basestatement and proof · cited by 1
- AddAction.IsPreprimitive.of_isTrivialBlock_of_notMem_fixedPointsstatement and proof · cited by 1
- AddAction.IsTrivialBlock.imagestatement and proof · cited by 1
- AddAction.IsTrivialBlock.preimagestatement and proof · cited by 1
- AddAction.IsTrivialBlock.vaddstatement and proof · cited by 1
- AddAction.IsPreprimitive.mk'statement and proof · cited by 0
- AddAction.IsPreprimitive.recOnstatement and proof · cited by 0
- AddAction.IsTrivialBlock.isBlockstatement and proof · cited by 0