Commit 2022-01-28 13:31 2fa59776

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feat(category_theory/bicategory/natural_transformation): define oplax natural transformations (#11404) This PR define oplax natural transformations between oplax functors. We give a composition and a category structure on oplax natural transformations.

Estimated changes

Created src/category_theory/bicategory/natural_transformation.lean

added def category_theory.oplax_nat_trans.id

added def category_theory.oplax_nat_trans.modification.id

added def category_theory.oplax_nat_trans.modification.vcomp

added theorem category_theory.oplax_nat_trans.modification.whisker_left_naturality

added theorem category_theory.oplax_nat_trans.modification.whisker_right_naturality

added structure category_theory.oplax_nat_trans.modification

added def category_theory.oplax_nat_trans.modification_iso.of_components

added def category_theory.oplax_nat_trans.vcomp

added theorem category_theory.oplax_nat_trans.whisker_left_naturality_comp

added theorem category_theory.oplax_nat_trans.whisker_left_naturality_id

added theorem category_theory.oplax_nat_trans.whisker_left_naturality_naturality

added theorem category_theory.oplax_nat_trans.whisker_right_naturality_comp

added theorem category_theory.oplax_nat_trans.whisker_right_naturality_id

added theorem category_theory.oplax_nat_trans.whisker_right_naturality_naturality

added structure category_theory.oplax_nat_trans