Theorems · Inductive type · commutative algebra
MvPowerSeries.HasEval
{σ : Type u_1} → {S : Type u_3} → [CommRing S] → [TopologicalSpace S] → (σ → S) → PropFamilies at which power series can be consistently evaluated
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CommRingTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- CommRingstatement · cited by 17,173
Cited by42
Results whose statement or proof uses this declaration.
- MvPowerSeries.aevalstatement and proof · cited by 18
- MvPowerSeries.HasSubst.hasEvalstatement · cited by 14
- MvPowerSeries.coe_aevalstatement and proof · cited by 9
- MvPowerSeries.HasEval.mapstatement and proof · cited by 9
- PowerSeries.hasEvalstatement · cited by 7
- MvPowerSeries.substAlgHom_eq_aevalproof · cited by 6
- MvPowerSeries.HasEval.tendsto_zerostatement and proof · cited by 6
- MvPowerSeries.HasEval.hpowstatement and proof · cited by 6
- MvPowerSeries.coe_eval₂Homstatement and proof · cited by 5
- MvPowerSeries.hasSubst_iff_hasEval_of_discreteTopologystatement and proof · cited by 5
- MvPowerSeries.HasEval.mul_leftstatement and proof · cited by 4
- PowerSeries.hasEval_iffstatement and proof · cited by 4