Mathlib Map

Theorems · Definition · group theory

ShelfHom.comp

{S₁ : Type u_1} →
  {S₂ : Type u_2} →
    {S₃ : Type u_3} →
      [inst : Shelf S₁] → [inst_1 : Shelf S₂] → [inst_2 : Shelf S₃] → ShelfHom S₂ S₃ → ShelfHom S₁ S₂ → ShelfHom S₁ S₃

The composition of shelf homomorphisms

Defined in
Mathlib.Algebra.Quandle
Cited by
3 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
Assumes
ShelfShelfShelf
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Rack.toEnvelGroup.map · cited by 2toEnvelGroup.mapShelfHom.comp_apply · cited by 0ShelfHom.comp_applyRack.toEnvelGroup.univ · cited by 0toEnvelGroup.univRack.toEnvelGroup.univ_uniq · cited by 0toEnvelGroup.univ_uniqShelfHom · cited by 14ShelfHomShelf · cited by 10ShelfShelfHom.toFun · cited by 4ShelfHom.toFunShelfHom.compCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.