Theorems · Theorem · group theory
Equiv.Perm.eq_on_support_mem_disjoint
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {f : Equiv.Perm α} {l : List (Equiv.Perm α)},
f ∈ l → List.Pairwise Equiv.Perm.Disjoint l → ∀ x ∈ f.support, f x = l.prod x- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
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.
- DFunLike.coestatement and proof · cited by 62,936
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement and proof · cited by 230
- Equiv.Perm.Disjointstatement and proof · cited by 81
- Equiv.Perm.mul_applyproof · cited by 38
- Equiv.Perm.notMem_supportproof · cited by 20
- Equiv.Perm.Disjoint.symmproof · cited by 9
- Equiv.Perm.disjoint_prod_rightproof · cited by 5
- Equiv.Perm.Disjoint.mem_impproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.mem_list_cycles_iffproof · cited by 2
- Equiv.Perm.support_le_prod_of_memproof · cited by 0