Restriction of quantifiers

Question

How is restriction of universal quantification same as the universal quantification of a conditional
statement while restriction of existential quantification is same as the existential quantification of a conjunction ?

Answer 1

it can be visualised as

∀- For universal quantifier p->q condition exists which is same as conditional statement.

if p the antecedent is true q (consequent) should be true but if p is false it q could be anything, the implication would be true. Same is the case in universal quantifier.

∃- For existential quantifier p^q condition exists.It is same as conjunction. There must exist atleast a condition where p and q both should be true.