Theorems · Theorem · commutative algebra

MvPowerSeries.renameFun.congr_simp

∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} (f f_1 : σ → τ) (e_f : f = f_1) [inst : Filter.TendstoCofinite f]
  [inst_1 : Semiring R] (a a_1 : MvPowerSeries σ R),
  a = a_1 → ∀ (a_2 a_3 : τ →₀ ℕ), a_2 = a_3 → MvPowerSeries.renameFun f a a_2 = MvPowerSeries.renameFun f_1 a_1 a_3

Defined in: Mathlib.RingTheory.MvPowerSeries.Rename
Cited by: 0 results in Mathlib
Foundations: Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Filter.TendstoCofinite Semiring

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Semiringstatement and proof · cited by 13,802
Finsuppstatement and proof · cited by 5,255
MvPowerSeriesstatement and proof · cited by 659
Filter.TendstoCofinitestatement and proof · cited by 28
MvPowerSeries.renameFunstatement and proof · cited by 1

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