Theorems · Theorem · order theory
Set.prod_subset_preimage_snd
∀ {α : Type u_1} {β : Type u_2} (s : Set α) (t : Set β), s ×ˢ t ⊆ Prod.snd ⁻¹' t- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 7 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.preimagestatement · cited by 4,946
- SProd.sprodstatement · cited by 1,750
- Set.inter_subset_rightproof · cited by 329
Cited by8
Results whose statement or proof uses this declaration.
- ContDiffWithinAt.fderivWithin_rightproof · cited by 11
- Set.snd_image_prod_subsetproof · cited by 5
- ContDiffOn.prodMapproof · cited by 1
- ContDiffWithinAt.fderivWithin_right_applyproof · cited by 1
- ContDiffWithinAt.prodMap'proof · cited by 1
- MDifferentiableWithinAt.prodMap'proof · cited by 1
- LocallyFinite.prod_leftproof · cited by 0
- MDifferentiableOn.prodMapproof · cited by 0