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Theorems · Definition · group theory

FreeSemigroup.recOnPure

{α : Type u} →
  {C : FreeSemigroup α → Sort l} →
    (x : FreeSemigroup α) →
      ((x : α) → C (pure x)) → ((x : α) → (y : FreeSemigroup α) → C (pure x) → C y → C (pure x * y)) → C x

Recursor that uses pure instead of of.

Defined in
Mathlib.Algebra.Free
Cited by
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Foundations
Depth 17 from the axioms · uses propext, Quot.sound
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FreeSemigroup.traverse · cited by 1FreeSemigroup.traverseFreeSemigroup · cited by 43FreeSemigroupFreeSemigroup.recOnMul · cited by 3FreeSemigroup.recOnMulFreeSemigroup.recOnPureCITED BYCITES

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