Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.le_shiftClosure
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.ObjectProperty C) {A : Type u_2}
[inst_1 : AddMonoid A] [inst_2 : CategoryTheory.HasShift C A], P ≤ P.shiftClosure A- Cited by
- 3 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.ObjectPropertystatement and proof · cited by 798
- CategoryTheory.Iso.appproof · cited by 253
- CategoryTheory.shiftFunctorZeroproof · cited by 82
- CategoryTheory.ObjectProperty.shiftClosurestatement · cited by 17
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.shiftClosure_eq_selfproof · cited by 4
- CategoryTheory.ObjectProperty.shiftClosure_le_iffproof · cited by 2
- CategoryTheory.ObjectProperty.le_triangEnvelopeIterproof · cited by 1