Theorems · Inductive type · commutative algebra
Algebra.PreSubmersivePresentation
(R : Type u) →
(S : Type v) →
Type w → Type t → [inst : CommRing R] → [inst_1 : CommRing S] → [Algebra R S] → Type (max (max (max t u) v) w)A PreSubmersivePresentation of an R-algebra S is a Presentation
with relations equipped with an injective map : relations → vars.
This map determines how the differential of P is constructed. See
PreSubmersivePresentation.differential for details.
- Cited by
- 54 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
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Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by91
Results whose statement or proof uses this declaration.
- Algebra.PreSubmersivePresentation.toPresentationstatement and proof · cited by 84
- Algebra.SubmersivePresentation.toPreSubmersivePresentationstatement · cited by 47
- Algebra.PreSubmersivePresentation.mapstatement and proof · cited by 34
- Algebra.PreSubmersivePresentation.jacobianstatement and proof · cited by 31
- Algebra.PreSubmersivePresentation.jacobiMatrixstatement and proof · cited by 21
- Algebra.PreSubmersivePresentation.jacobian_eq_jacobiMatrix_detstatement and proof · cited by 12
- MvPolynomial.universalFactorizationMapPresentationstatement · cited by 10
- 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.aevalDifferentialstatement and proof · cited by 7
- Algebra.PreSubmersivePresentation.map_injstatement and proof · cited by 6