Theorems · Theorem · commutative algebra

MvPowerSeries.rename_comp_rename

∀ {σ : Type u_1} {τ : Type u_2} {γ : Type u_3} {R : Type u_4} (f : σ → τ) (g : τ → γ) [inst : Filter.TendstoCofinite f]
  [inst_1 : CommSemiring R] [inst_2 : Filter.TendstoCofinite g],
  (MvPowerSeries.rename g).comp (MvPowerSeries.rename f) = MvPowerSeries.rename (g ∘ f)

Defined in: Mathlib.RingTheory.MvPowerSeries.Rename
Cited by: 0 results in Mathlib
Foundations: Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Filter.TendstoCofinite CommSemiring Filter.TendstoCofinite

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CommSemiringstatement and proof · cited by 10,911
AlgHomstatement · cited by 3,236
MvPowerSeriesstatement and proof · cited by 659
AlgHom.compstatement · cited by 501
AlgHom.extproof · cited by 170
Filter.TendstoCofinitestatement and proof · cited by 28
MvPowerSeries.renamestatement · cited by 26
MvPowerSeries.rename_renameproof · cited by 3

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