Theorems · Theorem · commutative algebra
PowerSeries.X_mul_cancel
∀ {R : Type u_1} [inst : Semiring R] {φ ψ : PowerSeries R}, PowerSeries.X * φ = PowerSeries.X * ψ → φ = ψ- Defined in
- Mathlib.RingTheory.PowerSeries.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.Xstatement and proof · cited by 183
- PowerSeries.ext_iffproof · cited by 10
- PowerSeries.coeff_succ_X_mulproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.X_mul_injectiveproof · cited by 1