Determine Whether Each of the Following "Theorems" Is True or False

question 151

True/False

determine whether each of the following "theorems" is true or false. Assume that a, b, c,
d, and m are integers with m > 1.
- $$\text { If } a \equiv b ( \bmod m ) \text { and } c \equiv d ( \bmod m ) , \text { then } a c \equiv b + d ( \bmod m )$$

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Definitions:

AntiAromatic

Compounds that possess cyclic, conjugated systems with 4n π electrons, which destabilize the molecule and make it less stable than expected.

NonAromatic

A compound that does not fulfill the criteria for aromaticity, lacking a continuous ring of p-orbitals.

[10]Annulene

A cyclic compound with a ten carbon ring structure, which may or may not exhibit aromatic characteristics depending on its substitution pattern and ring geometry.

All-Cis Form

A molecular configuration where all substituents are positioned on the same side of a double bond or in a cyclic structure.