Theorems · Theorem · group theory
Equiv.Perm.two_le_card_support_of_ne_one
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {f : Equiv.Perm α}, f ≠ 1 → 2 ≤ f.support.card- Defined in
- Mathlib.GroupTheory.Perm.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 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.
Cites5
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.one_lt_card_support_of_ne_oneproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.IsCycle.two_le_card_supportproof · cited by 3
- Equiv.Perm.cycleType_of_card_le_mem_cycleType_add_twoproof · cited by 0