Theorems · Theorem · order theory
Set.range_prodMap
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} {m₁ : α → γ} {m₂ : β → δ},
Set.range (Prod.map m₁ m₂) = Set.range m₁ ×ˢ Set.range m₂- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, 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.
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- SProd.sprodstatement · cited by 1,750
- Set.prod_range_range_eqproof · cited by 2
Cited by19
Results whose statement or proof uses this declaration.
- MeasurableEmbedding.prodMapproof · cited by 4
- contMDiff_equivTangentBundleProd_symmproof · cited by 2
- HasMFDerivWithinAt.prodMapproof · cited by 2
- ModelWithCorners.interior_prodproof · cited by 1
- MonoidHom.range_prodMapproof · cited by 1
- Topology.IsClosedEmbedding.prodMapproof · cited by 1
- EReal.measurable_of_real_prodproof · cited by 1
- ArithmeticFunction.vonMangoldt.summable_residueClass_non_primes_divproof · cited by 1
- map_uniformity_set_coeproof · cited by 1
- AddMonoidHom.range_prodMapproof · cited by 1
- CoxeterMatrix.reindex_relationsSetproof · cited by 0
- RingHom.rangeS_prodMapproof · cited by 0