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The FHE library provides binding libraries that enable dot notation for all operations. Import them alongside FHE.sol — no extra setup required. 
// Without bindings
euint8 sum = FHE.add(a, b);

// With bindings
euint8 sum = a.add(b);

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Full Example

InEuint8 encryptedInputA;
InEuint8 encryptedInputB;

euint8 a = FHE.asEuint8(encryptedInputA);
euint8 b = FHE.asEuint8(encryptedInputB);

// Arithmetic
euint8 sum = a.add(b);
euint8 diff = a.sub(b);
euint8 product = a.mul(b);
euint8 quotient = a.div(b);
euint8 remainder = a.rem(b);
euint8 squared = a.square();

// Bitwise
euint8 bitwiseAnd = a.and(b);
euint8 bitwiseOr = a.or(b);
euint8 bitwiseXor = a.xor(b);
euint8 bitwiseNot = a.not();
euint8 shiftLeft = a.shl(b);
euint8 shiftRight = a.shr(b);
euint8 rotateLeft = a.rol(b);
euint8 rotateRight = a.ror(b);

// Comparison
ebool isEqual = a.eq(b);
ebool isNotEqual = a.ne(b);
ebool isLessThan = a.lt(b);
ebool isLessEqual = a.lte(b);
ebool isGreaterThan = a.gt(b);
ebool isGreaterEqual = a.gte(b);

// Min/Max
euint8 minimum = a.min(b);
euint8 maximum = a.max(b);

// Type conversion
ebool converted = a.toBool();
euint16 toU16 = a.toU16();
euint32 toU32 = a.toU32();
euint64 toU64 = a.toU64();
euint128 toU128 = a.toU128();

// Utility
bool initialized = a.isInitialized();
bytes32 handle = a.unwrap();

// Access control
a.allow(address);
a.allowThis();
a.allowPublic();
a.allowSender();
a.allowTransient(address);
bool hasAccess = a.isAllowed(address);