Theorems · Theorem · logic and foundations
Part.eq_some_iff
∀ {α : Type u_1} {a : α} {o : Part α}, o = Part.some a ↔ a ∈ o- Defined in
- Mathlib.Data.Part
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by17
Results whose statement or proof uses this declaration.
- Part.map_someproof · cited by 27
- Nat.Partrec.ppredproof · cited by 4
- Partrec.of_eq_totproof · cited by 2
- Part.eq_of_chainproof · cited by 2
- Turing.ToPartrec.cont_eval_fixproof · cited by 2
- Part.some_getproof · cited by 2
- ComputablePred.computable_iff_re_compl_reproof · cited by 1
- Part.ne_none_iffproof · cited by 1
- Nat.Partrec.of_eq_totproof · cited by 1
- Turing.ToPartrec.Code.Ok.zeroproof · cited by 1
- Part.mem_chain_of_mem_ωSupproof · cited by 1
- Turing.ToPartrec.Code.exists_codeproof · cited by 0