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Theorems · Theorem · commutative algebra

PowerSeries.map_C

∀ {R : Type u_1} [inst : Semiring R] {S : Type u_2} [inst_1 : Semiring S] (f : R →+* S) (r : R),
  (PowerSeries.map f) (PowerSeries.C r) = PowerSeries.C (f r)
Defined in
Mathlib.RingTheory.PowerSeries.Basic
Cited by
2 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringSemiring
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Around this declaration

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

PowerSeries.weierstrassUnit_smul · cited by 0PowerSeries.weierstrassUn…PowerSeries.weierstrassDistinguished_smul · cited by 0PowerSeries.weierstrassDi…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringRingHom · cited by 10189RingHommap_zero · cited by 1614map_zeroPowerSeries · cited by 797PowerSeriesPowerSeries.map · cited by 82PowerSeries.mapPowerSeries.C · cited by 76PowerSeries.CPowerSeries.ext · cited by 69PowerSeries.extPowerSeries.coeff_C · cited by 11PowerSeries.coeff_CPowerSeries.map_CCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.