If the annulment really `proves ' there was never a marriage, "void ab inito" then the couple can remarry in the church as they were NEVER married.
But with almost all 'annulments' in Phil the church would never accept that the marriage never existed, only that the civil proceeding 'got around' the fact.
That is the reason why a persons, whose marriage has been annulled in Phil is not permitted to marry again the in church.
The Church: Grounds for Nullity
A marriage may be declared invalid because at least one of the two parties was not free to consent to the marriage, or did not fully commit to the marriage.
Grounds for nullity include:
Force or grave fear imposed on a person to obtain their consent (canon 1103)
The consent was based on a condition or reservation (canon 1102)
No intention, when marrying, to contract a lifelong relationship (simulation of consent) (canon 1101§2)
The intention, when marrying, to never have children (canon 1101§2)
A serious lack of the discretion necessary to consent to marriage (canon 1095 n.2)
Psychological incapacity to fulfill the obligations of marriage (canon 1095 n.3)
With a Phil civil 'annulment' the conditions accepted to justify it are much more flexible. For example No intention, when marrying, to contract a lifelong relationship (simulation of consent) (canon 1101§2) How many couples in Phil get married genuinely believing that it is only a temporary arrangement ?
