Theorems · Theorem · commutative algebra
MvPowerSeries.aeval_unique
∀ {σ : Type u_1} {R : Type u_2} [inst : CommRing R] [inst_1 : UniformSpace R] {S : Type u_3} [inst_2 : CommRing S]
[inst_3 : UniformSpace S] [inst_4 : IsTopologicalSemiring R] [inst_5 : IsUniformAddGroup R]
[inst_6 : IsUniformAddGroup S] [inst_7 : CompleteSpace S] [inst_8 : T2Space S] [inst_9 : IsTopologicalRing S]
[inst_10 : IsLinearTopology S S] [inst_11 : Algebra R S] [inst_12 : ContinuousSMul R S]
{ε : MvPowerSeries σ R →ₐ[R] S} (hε : Continuous ⇑ε), MvPowerSeries.aeval ⋯ = ε- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
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
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement and proof · cited by 3,236
- Continuousstatement and proof · cited by 2,592
- CompleteSpacestatement and proof · cited by 2,532
- MvPolynomialproof · cited by 2,140
- UniformSpacestatement and proof · cited by 2,040
- T2Spacestatement and proof · cited by 1,351
Cited by2
Results whose statement or proof uses this declaration.
- MvPowerSeries.subst_selfproof · cited by 2
- PowerSeries.aeval_uniqueproof · cited by 0