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Theorems · Definition · category theory

CategoryTheory.ForgetEnrichment.of

{C : Type u₁} →
  (W : Type v) →
    [inst : CategoryTheory.Category.{w, v} W] →
      [inst_1 : CategoryTheory.MonoidalCategory W] →
        [inst_2 : CategoryTheory.EnrichedCategory W C] → C → CategoryTheory.ForgetEnrichment W C

Typecheck an object of C as an object of ForgetEnrichment W C.

Defined in
Mathlib.CategoryTheory.Enriched.Basic
Cited by
25 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.EnrichedCategory

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.EnrichedFunctor.forget · cited by 24EnrichedFunctor.forgetCategoryTheory.ForgetEnrichment.homOf · cited by 14ForgetEnrichment.homOfCategoryTheory.TransportEnrichment.forgetEnrichmentEquivFunctor · cited by 5TransportEnrichment.forge…CategoryTheory.TransportEnrichment.forgetEnrichmentEquivInverse · cited by 5TransportEnrichment.forge…CategoryTheory.ForgetEnrichment.equivInverse · cited by 5ForgetEnrichment.equivInv…CategoryTheory.ForgetEnrichment.homOf_eId · cited by 4ForgetEnrichment.homOf_eIdCategoryTheory.EnrichedCat.whiskerRight_out_app · cited by 2EnrichedCat.whiskerRight_…CategoryTheory.EnrichedCat.whiskerLeft_out_app · cited by 1EnrichedCat.whiskerLeft_o…CategoryTheory.ForgetEnrichment.of_to · cited by 0ForgetEnrichment.of_toCategoryTheory.EnrichedCat.associator_hom_out_app · cited by 0EnrichedCat.associator_ho…CategoryTheory.EnrichedCat.associator_inv_out_app · cited by 0EnrichedCat.associator_in…CategoryTheory.EnrichedCat.leftUnitor_hom_out_app · cited by 0EnrichedCat.leftUnitor_ho…CategoryTheory.EnrichedCat.leftUnitor_inv_out_app · cited by 0EnrichedCat.leftUnitor_in…CategoryTheory.EnrichedCat.rightUnitor_hom_out_app · cited by 0EnrichedCat.rightUnitor_h…CategoryTheory.EnrichedCat.rightUnitor_inv_out_app · cited by 0EnrichedCat.rightUnitor_i…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.EnrichedCategory · cited by 99CategoryTheory.EnrichedCa…CategoryTheory.ForgetEnrichment · cited by 50CategoryTheory.ForgetEnri…ForgetEnrichment.ofCITED BYCITES

Cites4

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Cited by30

Results whose statement or proof uses this declaration.