Theorems · Theorem · order theory
Set.subset_pi_eval_image
∀ {ι : Type u_1} {α : ι → Type u_2} (s : Set ι) (u : Set ((i : ι) → α i)), u ⊆ s.pi fun i => Function.eval i '' u- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.imagestatement · cited by 5,609
- Set.pistatement · cited by 405
- Function.evalstatement · cited by 140
Cited by5
Results whose statement or proof uses this declaration.
- Real.volume_pi_le_prod_diamproof · cited by 1
- MeasureTheory.OuterMeasure.le_piproof · cited by 1
- Pi.isCompact_iffproof · cited by 0
- Pi.isCompact_iff_of_isClosedproof · cited by 0
- Set.forall_finite_image_eval_iffproof · cited by 0