covconv_swap — Mathlib

English

In a group, Covariant for the swapped operation is equivalent to Contravariant for the swapped operation.

Русский

В группе ковариантность для swapped операции эквивалентна контравариантности для той же swapped операции.

LaTeX

$$Group covariant_swap_iff_contravariant_swap$$

Lean4

@[to_additive]
instance (priority := 100) covconv_swap [Group N] [CovariantClass N N (swap (· * ·)) r] :
    ContravariantClass N N (swap (· * ·)) r :=
  ⟨Group.covariant_swap_iff_contravariant_swap.mp CovariantClass.elim⟩

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