Theorems · Inductive type · logic and foundations
Small
Type v → Prop
A type is Small.{w} if there exists an equivalence to some S : Type w.
- Defined in
- Mathlib.Logic.Small.Defs
- Cited by
- 369 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by492
Results whose statement or proof uses this declaration.
- Shrinkstatement and proof · cited by 132
- equivShrinkstatement and proof · cited by 118
- Cardinal.bddAbove_of_smallstatement and proof · cited by 37
- CategoryTheory.ObjectProperty.Smallproof · cited by 30
- Module.Flat.rTensor_preserves_injective_linearMapproof · cited by 24
- Ordinal.bddAbove_of_smallstatement and proof · cited by 19
- Ordinal.le_iSupstatement and proof · cited by 19
- Shrink.linearEquivstatement and proof · cited by 19
- CategoryTheory.Shrink.equivalencestatement and proof · cited by 18
- ModuleCat.localizedModulestatement and proof · cited by 16
- small_of_injectivestatement and proof · cited by 15
- small_of_surjectivestatement and proof · cited by 11
Showing the 200 most cited of 492.