Theorems · Theorem · commutative algebra
Module.Relations.map_single
∀ {A : Type u} [inst : Ring A] (relations : Module.Relations A) (r : relations.R),
(relations.map fun₀ | r => 1) = relations.relation r- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Ringstatement and proof · cited by 7,463
- Finsuppstatement · cited by 5,255
- one_smulproof · cited by 1,374
- Finsupp.singlestatement · cited by 943
- Module.Relations.Gstatement · cited by 103
- Module.Relationsstatement and proof · cited by 97
- Finsupp.linearCombination_singleproof · cited by 90
- Module.Relations.Rstatement and proof · cited by 57
- Module.Relations.relationstatement and proof · cited by 38
Cited by3
Results whose statement or proof uses this declaration.
- Module.Relations.Solution.π_comp_mapproof · cited by 1
- Algebra.Presentation.differentials.comm₁₂proof · cited by 1
- Module.Relations.toQuotient_mapproof · cited by 1