Theorems · Theorem · order theory
range_toPullbackDiag
∀ {X : Type u_1} {Y : Sort u_2} (f : X → Y), Set.range (toPullbackDiag f) = Function.pullbackDiagonal f- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.preimageproof · cited by 4,946
- Set.rangestatement · cited by 4,705
- Set.univproof · cited by 3,945
- Set.image_univproof · cited by 322
- Set.inter_univproof · cited by 198
- Set.preimage_univproof · cited by 46
- Set.univ_prod_univproof · cited by 32
- Function.Pullbackstatement and proof · cited by 29
- toPullbackDiagstatement · cited by 9
- Function.pullbackDiagonalstatement and proof · cited by 6
- image_toPullbackDiagproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- isSeparatedMap_iff_isClosedEmbeddingproof · cited by 1
- IsLocallyInjective_iff_isOpenEmbeddingproof · cited by 1