Theorems · Definition · group theory
PresentedAddMonoid.of
{α : Type u_1} → (rels : FreeAddMonoid α → FreeAddMonoid α → Prop) → α → PresentedAddMonoid relsof is the canonical map from α to a presented additive monoid with generators x : α. The
term x is mapped to the equivalence class of the image of x in FreeAddMonoid α.
- Defined in
- Mathlib.Algebra.PresentedMonoid.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 45 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.
- DFunLike.coeproof · cited by 62,936
- FreeAddMonoidstatement and proof · cited by 145
- FreeAddMonoid.ofproof · cited by 69
- PresentedAddMonoidstatement · cited by 8
- PresentedAddMonoid.mkproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- PresentedAddMonoid.closure_range_ofstatement and proof · cited by 1
- PresentedAddMonoid.extstatement and proof · cited by 1
- PresentedAddMonoid.ext_iffstatement and proof · cited by 0
- PresentedAddMonoid.lift_ofstatement · cited by 0
- PresentedAddMonoid.toMonoid.uniquestatement and proof · cited by 0