Theorems · Definition · order theory
Function.Pullback
{X : Type u_1} → {Y : Sort u_2} → {Z : Type u_3} → (X → Y) → (Z → Y) → Type (max 0 u_3 u_1)The fiber product $X \times_Y Z$.
- Defined in
- Mathlib.Data.Set.Prod
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by40
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.FormalCoproduct.pullbackConestatement and proof · cited by 10
- toPullbackDiagstatement · cited by 9
- Function.pullbackDiagonalstatement and proof · cited by 6
- isSeparatedMap_iff_isClosed_diagonalstatement · cited by 4
- Function.Pullback.sndstatement and proof · cited by 4
- Topology.IsEmbedding.toPullbackDiagstatement · cited by 4
- Continuous.mapPullbackstatement · cited by 3
- CategoryTheory.Limits.FormalCoproduct.homPullbackEquivstatement and proof · cited by 3
- injective_toPullbackDiagstatement · cited by 3
- isLocallyInjective_iff_isOpen_diagonalstatement and proof · cited by 3
- Function.PullbackSelfproof · cited by 2
- Function.Pullback.fststatement and proof · cited by 2