Theorems · Definition · commutative algebra
Algebra.PreSubmersivePresentation.map
{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 → σ → ιA map from the relations type to the variables type. Used to compute the differential.
- Cited by
- 34 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.
Cites3
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.PreSubmersivePresentationstatement and proof · cited by 54
Cited by45
Results whose statement or proof uses this declaration.
- Algebra.PreSubmersivePresentation.cotangentComplexAuxproof · cited by 9
- Algebra.PreSubmersivePresentation.jacobiMatrix_applystatement and proof · cited by 9
- Algebra.PreSubmersivePresentation.ofHasCoeffsproof · cited by 7
- Algebra.PreSubmersivePresentation.aevalDifferentialproof · cited by 7
- Algebra.PreSubmersivePresentation.map_injstatement · cited by 6
- Algebra.PreSubmersivePresentation.compproof · cited by 6
- Algebra.PreSubmersivePresentation.ofAlgEquivproof · cited by 5
- Algebra.PreSubmersivePresentation.reindexproof · cited by 5
- Algebra.SubmersivePresentation.basisKaehlerstatement · cited by 4
- Algebra.SubmersivePresentation.sectionCotangentproof · cited by 3
- Algebra.PreSubmersivePresentation.aevalDifferential_singlestatement and proof · cited by 3
- Algebra.PreSubmersivePresentation.baseChangeproof · cited by 3