Theorems · Theorem · commutative algebra
PowerSeries.hasEval
∀ {S : Type u_2} [inst : CommRing S] [inst_1 : TopologicalSpace S] {a : S},
PowerSeries.HasEval a → MvPowerSeries.HasEval fun x => a- Cited by
- 7 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingTopologicalSpace
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.
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- MvPowerSeries.HasEvalstatement · cited by 37
- PowerSeries.HasEvalstatement and proof · cited by 28
- PowerSeries.hasEval_iffproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- PowerSeries.coe_aevalproof · cited by 2
- PowerSeries.hasSum_eval₂proof · cited by 2
- PowerSeries.continuous_aevalproof · cited by 2
- PowerSeries.uniformContinuous_eval₂proof · cited by 1
- PowerSeries.eval₂_uniqueproof · cited by 1
- PowerSeries.coe_eval₂Homproof · cited by 0
- PowerSeries.comp_aevalproof · cited by 0