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Forall

forall is a property-testing combinator that constructs a property by applying a predicate to values generated from specified generators.

How 2 Manning books explain it

Functional Programming in Scala, Second Edition

Prop.forAll is a ScalaCheck API function that constructs a property by applying a predicate to values generated by a Gen.

How it is used
States generated-input laws as composable properties for property-based testing.
How deep it goes
Derives the polymorphic signature and implements execution with random inputs, result reporting, exceptions, and exhaustive-domain refinement.
Examples
Uses list reversal laws, Boolean properties, sorted lists, maximums, and a deliberately falsified reverse-equals-self claim.
What you can do after
Build it from scratch as a generator-driven test loop that returns passing or falsified results with diagnostics.

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Learn Haskell by Example

forAll is a QuickCheck combinator that attaches an explicitly supplied generator to a property test.

How it is used
Attaches a custom `Gen` generator to a QuickCheck property when test inputs require explicit control.
How deep it goes
Shows a complete generator and property pairing, then defers reusable generation to `Arbitrary` instances.
Examples
Uses a nonempty alphabet, bounded rotation count, and selected alphabet character to test `alphabetRot` closedness.
What you can do after
Apply it via QuickCheck to test a predicate against deliberately generated cases.

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Related concepts

These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.