Theorems · Theorem · group theory
Equiv.Perm.IsCycle.two_le_card_support
∀ {α : Type u_2} {f : Equiv.Perm α} [inst : DecidableEq α] [inst_1 : Fintype α], f.IsCycle → 2 ≤ f.support.card- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 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.
- Fintypestatement and proof · cited by 7,736
- Finset.cardstatement · cited by 2,327
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement · cited by 230
- Equiv.Perm.IsCyclestatement and proof · cited by 108
- Equiv.Perm.IsCycle.ne_oneproof · cited by 11
- Equiv.Perm.two_le_card_support_of_ne_oneproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Equiv.Perm.two_le_of_mem_cycleTypeproof · cited by 6
- Equiv.Perm.cycle_zpow_mem_support_iffproof · cited by 1
- Equiv.Perm.two_le_card_support_cycleOf_iffproof · cited by 1