English
Under the assumption IsOrderedAddMonoid R, seed.baseEmbedding forms a partial Hahn embedding once equipped with the data from earlier lemmas.
Русский
При условии IsOrderedAddMonoid R базовое вложение образует частичное вложение Хаана с использованием данных из предыдущих лемм.
LaTeX
$$$ IsPartial\ seed\ seed.baseEmbedding $$$
Lean4
/-- `HahnEmbedding.Seed.baseEmbedding` is a partial Hahn embedding. -/
theorem isPartial_baseEmbedding [IsOrderedAddMonoid R] : IsPartial seed seed.baseEmbedding
where
strictMono := seed.baseEmbedding_strictMono
baseEmbedding_le := le_refl _
truncLT_mem_range := seed.truncLT_mem_range_baseEmbedding