Theorems · Theorem · commutative algebra
PowerSeries.HasSubst.const
∀ {τ : Type u_3} {S : Type u_4} [inst : CommRing S] {a : MvPowerSeries τ S},
PowerSeries.HasSubst a → MvPowerSeries.HasSubst fun x => a- Cited by
- 15 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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.
- CommRingstatement and proof · cited by 17,173
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.HasSubststatement · cited by 74
- PowerSeries.HasSubststatement and proof · cited by 67
- PowerSeries.hasSubst_iffproof · cited by 6
Cited by16
Results whose statement or proof uses this declaration.
- PowerSeries.substAlgHomproof · cited by 16
- PowerSeries.coe_substAlgHomproof · cited by 12
- PowerSeries.coeff_substproof · cited by 4
- PowerSeries.HasSubst.compproof · cited by 3
- PowerSeries.substAlgHom_coeproof · cited by 2
- PowerSeries.substAlgHom_comp_substAlgHomproof · cited by 2
- PowerSeries.substAlgHom_eq_aevalproof · cited by 2
- FormalGroup.Xzero_subst_Xzeroproof · cited by 1
- FormalGroup.zeroX_subst_zeroXproof · cited by 1
- PowerSeries.coeff_subst_finiteproof · cited by 1
- FormalGroup.add_zeroproof · cited by 0
- PowerSeries.subst_rescale_of_degree_eq_oneproof · cited by 0