Theorems · Definition · logic and foundations
Part.assert
{α : Type u_1} → (p : Prop) → (p → Part α) → Part αassert p f is a bind-like operation which appends an additional condition
p to the domain and uses f to produce the value.
- Defined in
- Mathlib.Data.Part
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
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.
Cited by16
Results whose statement or proof uses this declaration.
- Part.bindproof · cited by 70
- PFun.fixproof · cited by 16
- Part.fixproof · cited by 9
- REPredproof · cited by 7
- PFun.fixInductionproof · cited by 6
- PFun.mem_fix_iffproof · cited by 6
- Part.assert_negstatement · cited by 2
- PFun.fixInduction_specproof · cited by 2
- Part.mem_assertstatement and proof · cited by 2
- Part.mem_assert_iffstatement and proof · cited by 2
- PFun.dom_of_mem_fixproof · cited by 2
- Part.assert_definedstatement · cited by 1