Theorems · Theorem · category theory
CategoryTheory.SmallObject.SuccStruct.Iteration.ext
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {J : Type w} {Φ : CategoryTheory.SmallObject.SuccStruct C}
{inst_1 : LinearOrder J} {inst_2 : SuccOrder J} {inst_3 : OrderBot J}
{inst_4 : CategoryTheory.Limits.HasIterationOfShape J C} {inst_5 : WellFoundedLT J} {j : J} {x y : Φ.Iteration j},
x.F = y.F → x = y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement and proof · cited by 7,166
- Bot.botproof · cited by 4,720
- LT.lt.leproof · cited by 2,189
- Set.Iicstatement and proof · cited by 1,111
- OrderBotstatement and proof · cited by 1,055
- SuccOrderstatement and proof · cited by 574
- WellFoundedLTstatement and proof · cited by 491
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.SmallObject.SuccStruct.Iteration.ext_iffproof · cited by 0