Theorems · Definition · order theory
Set.FiniteExhaustion.prod
{α : Type u_1} →
{s : Set α} → s.FiniteExhaustion → {β : Type u_2} → {t : Set β} → t.FiniteExhaustion → (s ×ˢ t).FiniteExhaustionGiven K : FiniteExhaustion s and K' : FiniteExhaustion t, FiniteExhaustion.prod K K'
is the finite exhaustion on s ×ˢ t given by the pointwise set product of the exhaustions.
- Defined in
- Mathlib.Data.Set.FiniteExhaustion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- SProd.sprodstatement and proof · cited by 1,750
- Set.FiniteExhaustionstatement and proof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Set.FiniteExhaustion.prod_applystatement and proof · cited by 0