Theorems · Theorem · category theory
CategoryTheory.Subobject.bot_eq_zero
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasZeroObject C]
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] {B : C}, ⊥ = CategoryTheory.Subobject.mk 0- Defined in
- Mathlib.CategoryTheory.Subobject.Lattice
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- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Bot.botstatement · cited by 4,720
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
- CategoryTheory.Subobjectstatement · cited by 385
- CategoryTheory.Limits.comp_zeroproof · cited by 365
- CategoryTheory.Limits.HasZeroObject.zero'statement · cited by 115
- CategoryTheory.Subobject.mkstatement · cited by 109
- CategoryTheory.Limits.initial.toproof · cited by 63
- CategoryTheory.Limits.initialIsInitialproof · cited by 35
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