Theorems · Theorem · category theory
CategoryTheory.Pretopology.toGrothendieck_bot
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C],
⊥.toGrothendieck = ⊥The trivial pretopology induces the trivial Grothendieck topology.
- Defined in
- Mathlib.CategoryTheory.Sites.Pretopology
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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 · cited by 4,720
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_botproof · cited by 63
- CategoryTheory.Pretopologystatement · cited by 32
- CategoryTheory.Pretopology.toGrothendieckstatement · cited by 18
- CategoryTheory.Pretopology.giproof · cited by 2
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