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Diff — Exponentiation

Revision #2571 → #3175 · back to history

modifiedExponentiation as right adjoint to product6e223ae980ee
FieldFrom #2571To #3175
mathlib.declCategoryTheory.exp.adjunctionCategoryTheory.ihom.adjunction
mathlib.match_kindexactgeneralization
mathlib.moduleMathlib.CategoryTheory.Monoidal.Closed.CartesianMathlib.CategoryTheory.Monoidal.Closed.Basic
note`CategoryTheory.exp.adjunction` is the prod ⊣ exp adjunction in Cartesian closed categories.`CategoryTheory.ihom.adjunction` gives the `tensorLeft A ⊣ ihom A` adjunction, which specialises to the product ⊣ exp adjunction in a cartesian monoidal category.
modifiedCartesian closed categoryab285dea869e
FieldFrom #2571To #3175
mathlib.declCategoryTheory.CartesianClosedCategoryTheory.MonoidalClosed
mathlib.match_kindexactgeneralization
mathlib.moduleMathlib.CategoryTheory.Monoidal.Closed.CartesianMathlib.CategoryTheory.Monoidal.Closed.Basic
note`CartesianClosed` is Mathlib's typeclass for CCCs.The dedicated `CartesianClosed` class was deprecated; cartesian closed categories are now `MonoidalClosed C` with `[CartesianMonoidalCategory C]`.
statusformalizedpartial