apply — Mathlib

English

A note on simplification projections: the simplified projection returns the underlying equivalence.

Русский

Примечание по проекциям упрощения: упрощенная проекция возвращает саму эквивалентность.

LaTeX

$$$\\mathrm{Simps}.\\mathrm{apply}$ defines the underlying equivalence by forgetting auxiliary data.$$

Lean4

/-- See Note [custom simps projection] -/
def apply {R : Type*} [CommSemiring R] {α β : Type*} [AddCommMonoid α] [AddCommMonoid β] [Module R α] [Module R β]
    [CoalgebraStruct R α] [CoalgebraStruct R β] (f : α ≃ₗc[R] β) : α → β :=
  f

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