Theorems · Theorem · logic and foundations
Part.mem_map_iff
∀ {α : Type u_1} {β : Type u_2} (f : α → β) {o : Part α} {b : β}, b ∈ Part.map f o ↔ ∃ a ∈ o, f a = b- Defined in
- Mathlib.Data.Part
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Partstatement and proof · cited by 325
- Part.Domproof · cited by 145
- Part.getproof · cited by 77
- Part.mapstatement and proof · cited by 65
- Part.mem_mapproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Turing.ToPartrec.cont_eval_fixproof · cited by 2
- StateTransition.tr_eval'proof · cited by 1
- Part.sub_mem_subproof · cited by 0
- Turing.TM2to1.tr_evalproof · cited by 0
- Part.neg_mem_negproof · cited by 0