Theorems · Definition · commutative algebra
Algebra.PreSubmersivePresentation.toPresentation
{R : Type u} →
{S : Type v} →
{ι : Type w} →
{σ : Type t} →
[inst : CommRing R] →
[inst_1 : CommRing S] →
[inst_2 : Algebra R S] → Algebra.PreSubmersivePresentation R S ι σ → Algebra.Presentation R S ι σ- Cited by
- 84 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Algebrastatement and proof · cited by 11,388
- Algebra.Presentationstatement · cited by 70
- Algebra.PreSubmersivePresentationstatement and proof · cited by 54
Cited by104
Results whose statement or proof uses this declaration.
- Algebra.PreSubmersivePresentation.jacobianproof · cited by 31
- Algebra.PreSubmersivePresentation.jacobiMatrixstatement · cited by 21
- Algebra.PreSubmersivePresentation.jacobian_eq_jacobiMatrix_detstatement and proof · cited by 12
- Algebra.PreSubmersivePresentation.cotangentComplexAuxstatement and proof · cited by 9
- Algebra.PreSubmersivePresentation.jacobiMatrix_applystatement and proof · cited by 9
- Algebra.PreSubmersivePresentation.ofHasCoeffsstatement and proof · cited by 7
- Algebra.PreSubmersivePresentation.aevalDifferentialproof · cited by 7
- Algebra.PreSubmersivePresentation.compproof · cited by 6
- Algebra.PreSubmersivePresentation.ofAlgEquivproof · cited by 5
- Algebra.PreSubmersivePresentation.reindexproof · cited by 5
- Algebra.SubmersivePresentation.coeffsproof · cited by 4
- Algebra.SubmersivePresentation.cotangentEquivstatement · cited by 3