Theorems · Theorem
CompTriple.comp_eq
∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} {φ : M → N} {ψ : N → P} {χ : outParam (M → P)} [self : CompTriple φ ψ χ],
ψ ∘ φ = χThe maps form a commuting triangle
- Defined in
- Mathlib.Logic.Function.CompTypeclasses
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CompTriple
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CompTriplestatement and proof · cited by 11
Cited by51
Results whose statement or proof uses this declaration.
- Algebra.FormallySmooth.comp_surjectiveproof · cited by 6
- AlternatingMap.map_permproof · cited by 6
- groupHomology.chainsMap_id_f_hom_eq_mapRangeproof · cited by 5
- ModelWithCorners.contMDiffproof · cited by 4
- ProbabilityTheory.Kernel.iIndepFun.indepFun_mul_leftproof · cited by 3
- ProbabilityTheory.Kernel.iIndepFun.indepFun_sub_leftproof · cited by 3
- ModelWithCorners.contMDiffOn_symmproof · cited by 3
- ProbabilityTheory.Kernel.iIndepFun.indepFun_add_leftproof · cited by 3
- ProbabilityTheory.Kernel.iIndepFun.indepFun_div_leftproof · cited by 3
- ModelWithCorners.isImmersionAtOfComplementproof · cited by 2
- Rep.standardComplex.forget₂ToModuleCatHomotopyEquiv_f_0_eqproof · cited by 2
- AddMonoidAlgebra.rTensorEquiv_tmulAlgEquivproof · cited by 2