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Theorems · Theorem · group theory

pow_iterate

∀ {M : Type u_4} [inst : Monoid M] (k n : ℕ), (fun x => x ^ k)^[n] = fun x => x ^ k ^ n
Defined in
Mathlib.Algebra.Group.Basic
Cited by
6 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
Monoid
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Around this declaration

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

FiniteField.orderOf_frobeniusAlgHom · cited by 3FiniteField.orderOf_frobe…iterate_frobenius · cited by 3iterate_frobeniuscoe_iterateFrobenius · cited by 2coe_iterateFrobeniusFiniteField.coe_frobeniusAlgEquivOfAlgebraic_iterate · cited by 2FiniteField.coe_frobenius…iterateFrobeniusEquiv_eq_pow · cited by 2iterateFrobeniusEquiv_eq_…FiniteField.algebraMap_norm_eq_pow · cited by 1FiniteField.algebraMap_no…Monoid · cited by 3887MonoidNat.iterate · cited by 740Nat.iteratepow_iterateCITED BYCITES

Cites2

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

Cited by6

Results whose statement or proof uses this declaration.