Theorems · Theorem
Function.Bijective.comp
∀ {α : Sort u₁} {β : Sort u₂} {φ : Sort u₃} {g : β → φ} {f : α → β},
Function.Bijective g → Function.Bijective f → Function.Bijective (g ∘ f)- Defined in
- Mathlib.Logic.Function.Defs
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- Function.Bijectivestatement and proof · cited by 863
Cited by26
Results whose statement or proof uses this declaration.
- isAddFundamentalDomain_Ioc'proof · cited by 2
- CategoryTheory.Functor.CoconeTypes.IsColimit.of_equivproof · cited by 2
- Polynomial.map_roots_comp_C_mul_X_add_Cproof · cited by 2
- HomotopicalAlgebra.bijective_rightHomotopyClassToHomproof · cited by 2
- IsTensorProduct.compl₂_comp_linearEquivproof · cited by 2
- dualTensorHom_finsupp_bijectiveproof · cited by 2
- ContinuousMultilinearMap.changeOrigin_toFormalMultilinearSeriesproof · cited by 1
- Module.FinitePresentation.exists_lift_equiv_of_isLocalizedModuleproof · cited by 1
- MaximalSpectrum.mapPiLocalization_compstatement and proof · cited by 1
- IsTensorProduct.compr₂_linearEquivproof · cited by 1
- MaximalSpectrum.mapPiLocalization_bijectiveproof · cited by 1