Theorems · Theorem · category theory
CategoryTheory.ShiftedHom.id_map
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {M : Type u_4} [inst_1 : AddMonoid M]
[inst_2 : CategoryTheory.HasShift C M] {X Y : C} {a : M} (f : CategoryTheory.ShiftedHom X Y a),
f.map (CategoryTheory.Functor.id C) = f- Defined in
- Mathlib.CategoryTheory.Shift.ShiftedHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functor.idstatement · cited by 3,333
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.ShiftedHomstatement and proof · cited by 88
- CategoryTheory.ShiftedHom.mapstatement · cited by 41
- CategoryTheory.Functor.commShiftIso_id_hom_appproof · cited by 9
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