Theorems · Theorem · order theory
image_toPullbackDiag
∀ {X : Type u_1} {Y : Sort u_2} (f : X → Y) (s : Set X),
toPullbackDiag f '' s = Function.pullbackDiagonal f ∩ Subtype.val ⁻¹' s ×ˢ s- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 5,609
- Set.preimagestatement and proof · cited by 4,946
- Set.extproof · cited by 2,266
- SProd.sprodstatement and proof · cited by 1,750
- Set.mem_image_of_memproof · cited by 371
- Function.Pullbackstatement and proof · cited by 29
- toPullbackDiagstatement and proof · cited by 9
- Function.pullbackDiagonalstatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- range_toPullbackDiagproof · cited by 2