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Theorems · Theorem · logic and foundations

PFun.Preimage_def

∀ {α : Type u_1} {β : Type u_2} (f : α →. β) (s : Set β), f.preimage s = {x | ∃ y ∈ s, y ∈ f x}
Defined in
Mathlib.Data.PFun
Cited by
0 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms

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Cites5

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.ofPredstatement · cited by 6,101
  • Partstatement · cited by 325
  • PFunstatement and proof · cited by 207
  • PFun.preimagestatement · cited by 18

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