Terms for subject Mathematics containing is as follows

English	Russian
A brief sketch is as follows	ниже следует краткий набросок (доказательства)
A brief sketch is as follows	ниже следует
finally, i is proved as follows	в заключение следует доказательство (i)
the designation of parallel straight lines is as follows	обозначение
the outline of the paper is as follows	план статьи
the plan of the paper is as follows	композиция этой статьи следующая
the problem is as follows	существо проблемы состоит в следующем