Theorems · Definition
Function.eval
{α : Sort u_1} → {β : α → Sort u_4} → (x : α) → ((x : α) → β x) → β xEvaluate a function at an argument. Useful if you want to talk about the partially applied
Function.eval x : (∀ x, β x) → β x.
- Defined in
- Mathlib.Logic.Function.Basic
- Cited by
- 140 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by149
Results whose statement or proof uses this declaration.
- LinearMap.projproof · cited by 71
- Filter.piproof · cited by 48
- nhds_piproof · cited by 29
- Filter.coprodᵢproof · cited by 17
- Set.pi_defstatement · cited by 14
- Function.surjective_evalstatement · cited by 11
- Filter.mem_piproof · cited by 8
- MeasureTheory.piPremeasureproof · cited by 6
- Set.singleton_pistatement · cited by 6
- isOpen_pi_iffproof · cited by 6
- Pi.evalOrderHomproof · cited by 6
- ProbabilityTheory.IsPreBrownianReal.covariance_evalproof · cited by 5