Theorems · Theorem · group theory
Equiv.Perm.mul_apply
∀ {α : Type u_4} (f g : Equiv.Perm α) (x : α), (f * g) x = f (g x)- Defined in
- Mathlib.Algebra.Group.End
- Cited by
- 38 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equiv.Permstatement and proof · cited by 1,375
Cited by38
Results whose statement or proof uses this declaration.
- Equiv.Perm.support_mul_leproof · cited by 6
- exists_prime_orderOf_dvd_cardproof · cited by 5
- Equiv.Perm.nodup_toListproof · cited by 5
- Equiv.Perm.cycleOf_pow_apply_selfproof · cited by 5
- Equiv.Perm.IsCycle.sameCycleproof · cited by 4
- Equiv.Perm.IsCycle.support_pow_eq_iffproof · cited by 4
- Equiv.Perm.Disjoint.support_mulproof · cited by 4
- isCycle_finRotateproof · cited by 3
- Equiv.Perm.SameCycle.apply_eq_self_iffproof · cited by 3
- Equiv.Perm.disjoint_mul_inv_of_mem_cycleFactorsFinsetproof · cited by 3
- Equiv.Perm.signAux_mulproof · cited by 3
- Equiv.Perm.mem_support_iff_of_commuteproof · cited by 2