Theorems · Theorem · commutative algebra
MvPowerSeries.HasSubst.X_X
∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] {i j : σ},
MvPowerSeries.HasSubst ![MvPowerSeries.X i, MvPowerSeries.X j]- Cited by
- 4 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Matrix.vecConsstatement · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- MvPowerSeriesstatement · cited by 659
- Matrix.cons_val_fin_oneproof · cited by 225
- MvPowerSeries.constantCoeffproof · cited by 98
- MvPowerSeries.Xstatement and proof · cited by 98
- MvPowerSeries.HasSubststatement · cited by 74
- MvPowerSeries.constantCoeff_Xproof · cited by 16
- MvPowerSeries.hasSubst_of_constantCoeff_zeroproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- FormalGroup.assoc'proof · cited by 2
- MvPowerSeries.HasSubst.cons_subst_zero_rightproof · cited by 1
- MvPowerSeries.HasSubst.cons_subst_zero_leftproof · cited by 1
- FormalGroup.comm'proof · cited by 0