Theorems · Theorem · logic and foundations
Part.mem_assert_iff
∀ {α : Type u_1} {p : Prop} {f : p → Part α} {a : α}, a ∈ Part.assert p f ↔ ∃ (h : p), a ∈ f h- Defined in
- Mathlib.Data.Part
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.assertstatement and proof · cited by 10
- Part.mem_assertproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PFun.mem_fix_iffproof · cited by 6
- PFun.dom_of_mem_fixproof · cited by 2