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Theorems · Theorem · group theory

Equiv.Perm.IsThreeCycle.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.IsThreeCycle = σ_1.IsThreeCycle
Defined in
Mathlib.GroupTheory.Perm.Cycle.Type
Cited by
2 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEq
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Around this declaration

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Equiv.Perm.IsThreeCycle.mem_commutatorSet_alternatingGroup · cited by 1IsThreeCycle.mem_commutat…Equiv.Perm.isThreeCycle_sq_of_three_mem_cycleType_five · cited by 0Perm.isThreeCycle_sq_of_t…Fintype · cited by 7736FintypeEquiv.Perm · cited by 1375Equiv.PermEquiv.Perm.IsThreeCycle · cited by 34Perm.IsThreeCycleIsThreeCycle.congr_simpCITED BYCITES

Cites3

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Cited by2

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