Theorems · Theorem · category theory
CategoryTheory.SmallObject.SuccStruct.arrowSucc_extendToSucc
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {J : Type u} [inst_1 : LinearOrder J]
[inst_2 : SuccOrder J] {j : J} (hj : ¬IsMax j) (F : CategoryTheory.Functor (↑(Set.Iic j)) C) {X : C}
(τ : F.obj ⟨j, ⋯⟩ ⟶ X),
CategoryTheory.SmallObject.SuccStruct.arrowSucc (CategoryTheory.SmallObject.SuccStruct.extendToSucc hj F τ) j ⋯ =
CategoryTheory.Arrow.mk τ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement and proof · cited by 7,166
- Set.Iicstatement and proof · cited by 1,111
- CategoryTheory.eqToHomproof · cited by 860
- CategoryTheory.Arrowstatement · cited by 713
- Order.succstatement · cited by 633
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