Theorems · Theorem · commutative algebra
PowerSeries.toMvPowerSeries_injective
∀ {R : Type u_1} {σ : Type u_2} [inst : CommSemiring R] (i : σ), Function.Injective ⇑(PowerSeries.toMvPowerSeries i)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- PowerSeriesstatement · cited by 797
- MvPowerSeriesstatement · cited by 659
- PowerSeries.toMvPowerSeriesstatement · cited by 11
- MvPowerSeries.rename_injectiveproof · cited by 2
- Function.Embedding.punitproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.toMvPowerSeries_injproof · cited by 0