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Theorems · Theorem · commutative algebra

iterateFrobenius_add

∀ (R : Type u_1) [inst : CommSemiring R] (p m n : ℕ) [inst_1 : ExpChar R p],
  iterateFrobenius R p (m + n) = (iterateFrobenius R p m).comp (iterateFrobenius R p n)
Defined in
Mathlib.Algebra.CharP.Frobenius
Cited by
3 results in Mathlib
Foundations
Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringExpChar
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Around this declaration

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

Polynomial.map_iterateFrobenius_expand · cited by 1Polynomial.map_iterateFro…MvPowerSeries.map_iterateFrobenius_expand · cited by 0MvPowerSeries.map_iterate…MvPolynomial.map_iterateFrobenius_expand · cited by 0MvPolynomial.map_iterateF…CommSemiring · cited by 10911CommSemiringRingHom · cited by 10189RingHomRingHom.comp · cited by 899RingHom.compRingHom.ext · cited by 331RingHom.extExpChar · cited by 276ExpChariterateFrobenius · cited by 39iterateFrobeniusiterateFrobenius_add_apply · cited by 2iterateFrobenius_add_applyiterateFrobenius_addCITED BYCITES

Cites7

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Cited by3

Results whose statement or proof uses this declaration.