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Theorems · Theorem · commutative algebra

MvPowerSeries.coeff_embDomain_rename

∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] (e : σ ↪ τ) (p : MvPowerSeries σ R) (x : σ →₀ ℕ),
  (MvPowerSeries.coeff (Finsupp.embDomain e x)) ((MvPowerSeries.rename ⇑e) p) = (MvPowerSeries.coeff x) p
Defined in
Mathlib.RingTheory.MvPowerSeries.Rename
Cited by
3 results in Mathlib
Foundations
Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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Around this declaration

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

MvPowerSeries.coeff_coeff_finSuccEquiv · cited by 3MvPowerSeries.coeff_coeff…MvPowerSeries.rename_injective · cited by 2MvPowerSeries.rename_inje…MvPowerSeries.killCompl_comp_rename · cited by 1MvPowerSeries.killCompl_c…DFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idCommSemiring · cited by 10911CommSemiringLinearMap · cited by 10215LinearMapFinsupp · cited by 5255FinsuppAlgHom · cited by 3236AlgHomFunction.Embedding · cited by 988Function.EmbeddingMvPowerSeries · cited by 659MvPowerSeriesMvPowerSeries.coeff · cited by 273MvPowerSeries.coeffFinsupp.mapDomain · cited by 168Finsupp.mapDomainFinset.sum_eq_single · cited by 98Finset.sum_eq_singleFinsupp.embDomain · cited by 69Finsupp.embDomainMvPowerSeries.rename · cited by 26MvPowerSeries.renameFilter.TendstoCofinite.finite_preimage_singleton · cited by 12TendstoCofinite.finite_pr…MvPowerSeries.coeff_rename · cited by 7MvPowerSeries.coeff_renameMvPowerSeries.coeff_embDomain…CITED BYCITES

Cites15

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Cited by3

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