Propositions to rebuild rest home (8)
I believe the answer is:
theorems
'propositions' is the definition.
(theorem is a kind of proposition)
'rebuild rest home' is the wordplay.
'rebuild' indicates anagramming the letters (I've seen this in other clues).
'rest'+'home'='resthome'
'resthome' anagrammed gives 'THEOREMS'.
'to' acts as a link.
(Other definitions for theorems that I've seen before include "Propositions proved by chains of reasoning" , "Mathematical propositions" , "Demonstrable principles" , "Propositions proved by chain of reasoning" , "Rules" .)