Theorems · Definition · group theory
PresentedAddMonoid.mk
{α : Type u_1} → (rels : FreeAddMonoid α → FreeAddMonoid α → Prop) → FreeAddMonoid α →+ PresentedAddMonoid relsThe quotient map from the free additive monoid on α to the presented additive
monoid with the same generators and the given relations rels
- Defined in
- Mathlib.Algebra.PresentedMonoid.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- FreeAddMonoidstatement and proof · cited by 145
- addConGenproof · cited by 28
- AddCon.toSetoidproof · cited by 20
- PresentedAddMonoidstatement · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- PresentedAddMonoid.ofproof · cited by 5
- PresentedAddMonoid.inductionOnstatement and proof · cited by 2
- PresentedAddMonoid.closure_range_ofproof · cited by 1
- PresentedAddMonoid.inductionOn₂statement and proof · cited by 0
- PresentedAddMonoid.inductionOn₃statement and proof · cited by 0
- PresentedAddMonoid.surjective_mkstatement · cited by 0