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Theorems · Theorem · group theory

ConjAct.mem_orbit_conjAct

∀ {G : Type u_3} [inst : Group G] {g h : G}, g ∈ MulAction.orbit (ConjAct G) h ↔ IsConj g h
Defined in
Mathlib.GroupTheory.GroupAction.ConjAct
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
Group
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Around this declaration

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

ConjAct.orbit_eq_carrier_conjClasses · cited by 1ConjAct.orbit_eq_carrier_…ConjAct.orbitRel_conjAct · cited by 0ConjAct.orbitRel_conjActSet · cited by 53352SetGroup · cited by 6238GroupMulAction.orbit · cited by 114MulAction.orbitConjAct · cited by 79ConjActIsConj · cited by 43IsConjisConj_iff · cited by 16isConj_iffMulAction.mem_orbit_iff · cited by 7MulAction.mem_orbit_iffisConj_comm · cited by 3isConj_commConjAct.mem_orbit_conjActCITED BYCITES

Cites8

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Cited by2

Results whose statement or proof uses this declaration.