Theorems · Theorem · category theory
CategoryTheory.Limits.hasIterationOfShape_of_initialSeg
∀ {J : Type w} [inst : LinearOrder J] (C : Type u) [inst_1 : CategoryTheory.Category.{v, u} C]
[CategoryTheory.Limits.HasIterationOfShape J C] [SuccOrder J] [WellFoundedLT J] {α : Type u_1}
[inst_5 : LinearOrder α] (h : α ≤i J) [Nonempty α], CategoryTheory.Limits.HasIterationOfShape α C- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemproof · cited by 7,166
- Set.Iioproof · cited by 1,166
- SuccOrderstatement and proof · cited by 574
- WellFoundedLTstatement and proof · cited by 491
- Order.IsSuccLimitproof · cited by 255
- PrincipalSeg.toRelEmbeddingproof · cited by 129
- InitialSegstatement and proof · cited by 70
- CategoryTheory.Limits.HasIterationOfShapestatement and proof · cited by 58
- Set.Nonempty.to_subtypeproof · cited by 55
- PrincipalSeg.mem_range_of_relproof · cited by 24
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