Theorems · Theorem · group theory
Equiv.Perm.Basis.injective
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {g : Equiv.Perm α} (a : g.Basis), Function.Injective ⇑a- Defined in
- Mathlib.GroupTheory.Perm.Centralizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 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
- Subtype.propproof · cited by 505
- Equiv.Perm.cycleFactorsFinsetstatement and proof · cited by 96
- Subtype.coe_injproof · cited by 33
- Equiv.Perm.Basisstatement and proof · cited by 25
- Set.Pairwise.eqproof · cited by 12
- Equiv.Perm.cycleFactorsFinset_pairwise_disjointproof · cited by 10
- Equiv.Perm.Basis.mem_support_selfproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.Basis.ofPermHom_supportproof · cited by 1