Theorems · Theorem · commutative algebra
MvPowerSeries.rename_injective
∀ {σ : Type u_1} {τ : Type u_2} {R : Type u_4} [inst : CommSemiring R] (e : σ ↪ τ),
Function.Injective ⇑(MvPowerSeries.rename ⇑e)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Rename
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 102 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- AlgHomstatement · cited by 3,236
- Function.Embeddingstatement and proof · cited by 988
- MvPowerSeriesstatement and proof · cited by 659
- Finsupp.embDomainproof · cited by 69
- MvPowerSeries.extproof · cited by 58
- MvPowerSeries.renamestatement and proof · cited by 26
- MvPowerSeries.ext_iffproof · cited by 5
- MvPowerSeries.coeff_embDomain_renameproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- PowerSeries.toMvPowerSeries_injectiveproof · cited by 1
- MvPowerSeries.rename_injproof · cited by 0