Theorems · Theorem · group theory
Equiv.Perm.two_dvd_card_support
∀ {α : Type u_1} [inst : Fintype α] [inst_1 : DecidableEq α] {σ : Equiv.Perm α}, σ ^ 2 = 1 → 2 ∣ σ.support.card- Defined in
- Mathlib.GroupTheory.Perm.Cycle.Type
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- le_antisymmproof · cited by 2,068
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.Perm.supportstatement · cited by 230
- Dvd.dvd.transproof · cited by 148
- zero_lt_twoproof · cited by 124
- dvd_reflproof · cited by 97
- Equiv.Perm.cycleTypeproof · cited by 87
- orderOf_dvd_of_pow_eq_oneproof · cited by 24
- Equiv.Perm.sum_cycleTypeproof · cited by 14
- Equiv.Perm.two_le_of_mem_cycleTypeproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.Gal.galActionHom_bijective_of_prime_degree'proof · cited by 0