Theorems · Theorem · order theory
Set.mapsTo_prodMap_diagonal
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, Set.MapsTo (Prod.map f f) (Set.diagonal α) (Set.diagonal β)- Defined in
- Mathlib.Data.Set.Function
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 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.
- Set.MapsTostatement · cited by 732
- Set.diagonalstatement · cited by 42
- Set.mapsTo_iff_subset_preimageproof · cited by 7
- Set.diagonal_subset_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CompactSpace.uniformContinuous_of_continuousproof · cited by 5