Mathlib Map

Theorems · Theorem · logic and foundations

PFun.mem_core_res

∀ {α : Type u_1} {β : Type u_2} (f : α → β) (s : Set α) (t : Set β) (x : α), x ∈ (PFun.res f s).core t ↔ x ∈ s → f x ∈ t
Defined in
Mathlib.Data.PFun
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses propext, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites3

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
  • PFun.corestatement · cited by 16
  • PFun.resstatement and proof · cited by 8

Cited by1

Results whose statement or proof uses this declaration.