Theorems · Theorem · group theory
Set.powersetCard.isPretransitive
∀ {α : Type u_2} {n : ℕ} [inst : DecidableEq α], MulAction.IsPretransitive (Equiv.Perm α) ↑(Set.powersetCard α n)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Set.Elemstatement · cited by 7,166
- Equiv.Permstatement and proof · cited by 1,375
- Set.powersetCardstatement · cited by 100
- MulAction.IsPretransitivestatement · cited by 94
- Equiv.Perm.isMultiplyPretransitiveproof · cited by 4
- Set.powersetCard.isPretransitive_of_isMultiplyPretransitiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Set.powersetCard.isPreprimitive_permproof · cited by 1