Theorems · Theorem · commutative algebra
PowerSeries.hasSubst_iff_hasEval_of_discreteTopology
∀ {τ : Type u_3} {S : Type u_4} [inst : CommRing S] [inst_1 : TopologicalSpace S] [DiscreteTopology S]
{a : MvPowerSeries τ S}, PowerSeries.HasSubst a ↔ PowerSeries.HasEval a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- MvPowerSeriesstatement and proof · cited by 659
- DiscreteTopologystatement and proof · cited by 373
- PowerSeries.HasSubststatement · cited by 67
- MvPowerSeries.HasEvalproof · cited by 37
- PowerSeries.HasEvalstatement and proof · cited by 28
- Function.const_defproof · cited by 7
- PowerSeries.hasSubst_iffproof · cited by 6
- MvPowerSeries.hasSubst_iff_hasEval_of_discreteTopologyproof · cited by 5
- PowerSeries.hasEval_iffproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.