Theorems · Theorem · group theory
Equiv.Perm.support_pow_le
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] (σ : Equiv.Perm α) (n : ℕ), (σ ^ n).support ⊆ σ.support- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 57 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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.mem_supportproof · cited by 51
- Equiv.Perm.pow_apply_eq_self_of_apply_eq_selfproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Equiv.Perm.IsCycle.support_pow_eq_iffproof · cited by 4
- Equiv.Perm.IsCycle.of_powproof · cited by 3
- Equiv.Perm.support_pow_coprimeproof · cited by 2
- Equiv.Perm.closure_cycle_coprime_swapproof · cited by 1
- Equiv.Perm.IsCycle.pow_iffproof · cited by 1