Orientation — Mathlib

English

As above, with a slight reformulation; the equality holds by reflexivity.

Русский

Как выше, тождественность сохраняется.

LaTeX

$$$(a \mathrm{.domCoprod}\ b).\mathrm{domDomCongr}(\sigma_a.sumCongr \sigma_b) = (a.\domDomCongr \sigma_a).\domCoprod (b.\domDomCongr \sigma_b).$$$

Lean4

/-- An orientation of a module, intended to be used when `ι` is a `Fintype` with the same
cardinality as a basis. -/
abbrev Orientation :=
  Module.Ray R (M [⋀^ι]→ₗ[R] R)

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