Theorems · Definition · commutative algebra
Module.Presentation.finsupp
{A : Type u} →
[inst : Ring A] →
{N : Type v} →
[inst_1 : AddCommGroup N] →
[inst_2 : Module A N] →
Module.Presentation A N → (ι : Type w) → [DecidableEq ι] → [DecidableEq N] → Module.Presentation A (ι →₀ N)The obvious presentation of the module ι →₀ N that is deduced from a presentation
of the module N.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Finsuppstatement · cited by 5,255
- LinearEquiv.symmproof · cited by 1,461
- Module.Presentationstatement and proof · cited by 40
- finsuppLequivDFinsuppproof · cited by 11
- Module.Presentation.directSumproof · cited by 5
- Module.Presentation.ofLinearEquivproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Module.Presentation.finsupp_Gstatement and proof · cited by 0
- Module.Presentation.finsupp_Rstatement and proof · cited by 0
- Module.Presentation.finsupp_relationstatement and proof · cited by 0
- Module.Presentation.finsupp_varstatement and proof · cited by 0
- Module.Presentation.RestrictScalarsDataproof · cited by 0
- Module.Presentation.restrictScalarsproof · cited by 0