Mathlib v3 is deprecated. Go to Mathlib v4

Commit 2022-07-26 12:57 c4d273c2

View on Github →

feat(category_theory/limits): preserves biproducts if comparison is iso (#14419)

Estimated changes

Modified src/category_theory/limits/preserves/shapes/biproducts.lean

added def category_theory.functor.biprod_comparison'

added theorem category_theory.functor.biprod_comparison'_comp_biprod_comparison

added def category_theory.functor.biprod_comparison

added theorem category_theory.functor.biprod_comparison_fst

added theorem category_theory.functor.biprod_comparison_snd

added def category_theory.functor.biproduct_comparison'

added theorem category_theory.functor.biproduct_comparison'_comp_biproduct_comparison

added def category_theory.functor.biproduct_comparison

added theorem category_theory.functor.biproduct_comparison_π

added theorem category_theory.functor.inl_biprod_comparison'

added theorem category_theory.functor.inr_biprod_comparison'

added theorem category_theory.functor.retraction_biprod_comparison'

added theorem category_theory.functor.retraction_biproduct_comparison'

added theorem category_theory.functor.section_biprod_comparison

added theorem category_theory.functor.section_biproduct_comparison

added theorem category_theory.functor.ι_biproduct_comparison'

added def category_theory.limits.preserves_binary_biproduct_of_epi_biprod_comparison'

added def category_theory.limits.preserves_binary_biproduct_of_mono_biprod_comparison

added def category_theory.limits.preserves_biproduct_of_epi_biproduct_comparison'

added def category_theory.limits.preserves_biproduct_of_mono_biproduct_comparison

Modified src/category_theory/limits/shapes/biproducts.lean

modified theorem category_theory.limits.bicone.to_cocone_ι_app

added theorem category_theory.limits.bicone.to_cocone_ι_app_mk

modified theorem category_theory.limits.bicone.to_cone_π_app

added theorem category_theory.limits.bicone.to_cone_π_app_mk

added def category_theory.limits.biprod.iso_coprod

added theorem category_theory.limits.biprod.iso_coprod_inv

added def category_theory.limits.biprod.iso_prod

added theorem category_theory.limits.biprod.iso_prod_hom

added theorem category_theory.limits.biprod.iso_prod_inv

added theorem category_theory.limits.biprod_iso_coprod_hom

added def category_theory.limits.biproduct.iso_coproduct

added theorem category_theory.limits.biproduct.iso_coproduct_hom

added theorem category_theory.limits.biproduct.iso_coproduct_inv

added def category_theory.limits.biproduct.iso_product

added theorem category_theory.limits.biproduct.iso_product_hom

added theorem category_theory.limits.biproduct.iso_product_inv

Modified src/category_theory/preadditive/additive_functor.lean