Theorems · Theorem · category theory
Function.Fiber.map_eq_image
∀ {Y : Type u_2} {Z : Type u_3} (f : Y → Z) (a : Function.Fiber f) (x : ↑↑a), f ↑x = Function.Fiber.image f a- Defined in
- Mathlib.Logic.Function.FiberPartition
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Classical.choice
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.Elemstatement and proof · cited by 7,166
- Set.preimagestatement and proof · cited by 4,946
- Set.rangestatement and proof · cited by 4,705
- Subtype.propproof · cited by 505
- Set.mem_preimageproof · cited by 190
- Set.mem_singleton_iffproof · cited by 172
- Function.Fiberstatement and proof · cited by 18
- Function.Fiber.imagestatement and proof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- Function.Fiber.mk_imageproof · cited by 1
- Function.Fiber.mem_iff_eq_imageproof · cited by 1
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0
- CompHausLike.LocallyConstant.adjunction_left_triangleproof · cited by 0
- Condensed.isoLocallyConstantOfIsColimit_invproof · cited by 0