
from adwaith.engine import Infer, Symbolic

def Law(expression):
    print("[Law] Added:", expression)
    Symbolic(expression)

=== 20 MATH LAWS ===

Equation("euler_identity = e^(ipi) + 1 = 0")
Law("area_circle = pi * r^2")
Law("quadratic_formula = (-b ± sqrt(b^2 - 4ac)) / 2a")
Law("golden_ratio = (1 + sqrt(5)) / 2")
Law("binomial_expansion = (a + b)^n")
Law("log_identity = log(ab) = log(a) + log(b)")
Law("derivative_sin = d/dx(sin(x)) = cos(x)")
Law("integral_e = ∫e^x dx = e^x + C")
Law("matrix_mult = A * B = C")
Law("fibonacci = F(n) = F(n-1) + F(n-2)")
Law("pythagoras = a^2 + b^2 = c^2")
Law("mean = sum(x)/n")
Law("variance = E[(x - μ)^2]")
Law("std_dev = sqrt(variance)")
Law("factorial = n! = n*(n-1)!")
Law("series_sum = n(n+1)/2")
Law("mod_inverse = a^-1 mod m")
Law("complex_mult = (a+bi)(c+di) = ac - bd + (ad+bc)i")
Law("limit = lim(x→a) f(x)")
Law("chain_rule = d/dx(f(g(x))) = f’(g(x)) * g’(x)")

=== 20 PHYSICS LAWS ===

Law("newton_2nd = F = m * a")
Law("ohm_law = V = I * R")
Law("coulombs_law = F = k * q1 * q2 / r^2")
Law("plancks_eqn = E = h * f")
Law("wave_eqn = v = f * λ")
Law("snells_law = n1 * sin(θ1) = n2 * sin(θ2)")
Law("ideal_gas = PV = nRT")
Law("thermodynamics = ΔU = Q - W")
Law("bernoulli = P + ½ρv^2 + ρgh = constant")
Law("gravity = F = G * m1 * m2 / r^2")
Law("photoelectric = E_k = hf - φ")
Law("momentum = p = m * v")
Law("relativity = E = mc^2")
Law("work = W = F * d * cos(θ)")
Law("power = P = W/t")
Law("hooke = F = -k * x")
Law("capacitance = C = Q/V")
Law("magnetic_force = F = qvBsin(θ)")
Law("lorentz = F = q(E + v × B)")
Law("angular_momentum = L = I * ω")

=== 20 HACKING LAWS ===

Law("brute_force = try(passwords) until success")
Law("SQLi = inject("OR 1=1--")")
Law("XSS = inject(<script>)")
Law("reverse_shell = connect_back(target)")
Law("dns_tunnel = encode(data) in dns_query")
Law("mitm = intercept(victim <-> gateway)")
Law("hash_crack = brute(hash, wordlist)")
Law("priv_esc = exploit(misconfig)")
Law("lfi = read(/etc/passwd)")
Law("payload = encode(malicious_code)")
Law("csrf = auto_submit(hidden_form)")
Law("port_scan = send(syn) to ports")
Law("bind_shell = listen(port)")
Law("keylogger = record(keys)")
Law("ftp_exploit = anonymous_login()")
Law("zip_bomb = nested_compression")
Law("mac_spoof = change(mac_address)")
Law("wifi_deauth = send(deauth_packets)")
Law("trojan = disguise(payload)")
Law("obfuscate = encrypt(payload)")

=== 20 QUANTUM LAWS ===

Law("superposition = ψ = α|0> + β|1>")
Law("entanglement = qubits share state")
Law("measurement = collapse(ψ)")
Law("no_cloning = cannot copy quantum state")
Law("quantum_tunnel = classically_forbidden_pass")
Law("uncertainty = Δx * Δp ≥ ħ/2")
Law("bloch_sphere = visualize(qubit_state)")
Law("quantum_key = use(qkd_protocol)")
Law("grover = sqrt(N) search_time")
Law("shor = quantum_factorization")
Law("decoherence = loss of quantum info")
Law("unitary = reversible_operation")
Law("bell_state = entangled_pair")
Law("qubit = quantum_bit")
Law("qft = quantum_fourier_transform")
Law("teleportation = send(state, not qubit)")
Law("quantum_circuit = gates ∘ qubits")
Law("dirac_notation = ⟨ψ| or |φ⟩")
Law("quantum_channel = entangled_link")
Law("hadamard = create_superposition")

=== INFER UNIVERSE ===

Infer("universe = all(Laws)")
Symbolic("Execute all logic and observe result") 