Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.shiftClosure_bot
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {A : Type u_2} [inst_1 : AddMonoid A]
[inst_2 : CategoryTheory.HasShift C A], ⊥.shiftClosure A = ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Bot.botstatement and proof · cited by 4,720
- AddMonoidstatement and proof · cited by 2,864
- CategoryTheory.HasShiftstatement and proof · cited by 1,527
- CategoryTheory.ObjectPropertystatement · cited by 798
- CategoryTheory.ObjectProperty.shiftClosurestatement · cited by 17
- CategoryTheory.ObjectProperty.shiftClosure_eq_selfproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ObjectProperty.monotone'_triangEnvelopeIterproof · cited by 1