Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.small_op_iff
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C),
CategoryTheory.ObjectProperty.Small.{w, v, u} P.op ↔ CategoryTheory.ObjectProperty.Small.{w, v, u} P- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Oppositestatement · cited by 8,081
- Opposite.unopproof · cited by 2,231
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.ObjectProperty.opstatement and proof · cited by 42
- CategoryTheory.ObjectProperty.Smallstatement · cited by 30
- small_congrproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.small_unop_iffproof · cited by 0