Theorems · Theorem · commutative algebra
MvPowerSeries.map_iterateFrobenius_expand
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] (p : ℕ) (hp : p ≠ 0) [inst_1 : ExpChar R p] (f : MvPowerSeries σ R)
(n : ℕ), (MvPowerSeries.map (iterateFrobenius R p n)) ((MvPowerSeries.expand (p ^ n) ⋯) f) = f ^ p ^ n- Defined in
- Mathlib.RingTheory.MvPowerSeries.Expand
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
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- CommRingstatement and proof · cited by 17,173
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- MvPowerSeriesstatement and proof · cited by 659
- pow_succproof · cited by 374
- ExpCharstatement and proof · cited by 276
- pow_succ'proof · cited by 228
- pow_mulproof · cited by 210
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