Theorems · Theorem · logic and foundations
small_subset
∀ {α : Type u1} {s t : Set α}, t ⊆ s → ∀ [Small.{u, u1} ↑s], Small.{u, u1} ↑t- Defined in
- Mathlib.Logic.Small.Set
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Smallstatement and proof · cited by 369
- Set.inclusion_injectiveproof · cited by 28
- small_of_injectiveproof · cited by 15
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.bddAbove_iff_smallproof · cited by 3
- small_iInterproof · cited by 2
- Ordinal.bddAbove_iff_smallproof · cited by 2