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Theorems · Theorem · group theory

Equiv.Perm.cycleType.congr_simp

∀ {α : Type u_1} [inst : Fintype α] {inst_1 : DecidableEq α} [inst_2 : DecidableEq α] (σ σ_1 : Equiv.Perm α),
  σ = σ_1 → σ.cycleType = σ_1.cycleType
Defined in
Mathlib.GroupTheory.Perm.Cycle.Type
Cited by
5 results in Mathlib
Foundations
Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Equiv.Perm.cycleType_conj · cited by 2Perm.cycleType_conjEquiv.Perm.cycleType_inv · cited by 1Perm.cycleType_invalternatingGroup.mem_map_kleinFour_ofSubtype · cited by 1alternatingGroup.mem_map_…Fin.cycleType_cycleIcc_of_lt · cited by 0Fin.cycleType_cycleIcc_of…alternatingGroup.map_kleinFour_conj · cited by 0alternatingGroup.map_klei…Fintype · cited by 7736FintypeMultiset · cited by 2627MultisetEquiv.Perm · cited by 1375Equiv.PermEquiv.Perm.cycleType · cited by 87Perm.cycleTypecycleType.congr_simpCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.