Theorems · Definition · group theory
AddActionHom.comp
{M : Type u_2} →
{N : Type u_3} →
{P : Type u_4} →
{φ : M → N} →
{ψ : N → P} →
{χ : M → P} →
{X : Type u_5} →
[inst : VAdd M X] →
{Y : Type u_6} →
[inst_1 : VAdd N Y] →
{Z : Type u_7} →
[inst_2 : VAdd P Z] → (Y →ₑ[ψ] Z) → (X →ₑ[φ] Y) → [κ : CompTriple φ ψ χ] → X →ₑ[χ] ZComposition of two equivariant maps.
- Defined in
- Mathlib.GroupTheory.GroupAction.Hom
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- VAddVAddVAddCompTriple
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- VAddstatement and proof · cited by 616
- AddActionHomstatement and proof · cited by 82
- CompTriplestatement and proof · cited by 11
Cited by11
Results whose statement or proof uses this declaration.
- AddActionHom.comp_applystatement · cited by 2
- AddActionHom.prodMapproof · cited by 1
- AddActionHom.End.add_defstatement · cited by 0
- AddActionHom.comp_assocstatement · cited by 0
- AddActionHom.comp_idstatement · cited by 0
- AddActionHom.comp_inverse'statement · cited by 0
- SubAddAction.ofStabilizer.addConjMap_compstatement · cited by 0
- AddActionHom.fst_comp_prodstatement · cited by 0
- AddActionHom.snd_comp_prodstatement · cited by 0
- AddActionHom.id_compstatement · cited by 0
- AddActionHom.inverse'_compstatement · cited by 0