let n be Element of NAT ; for X being non empty finite set
for f being Function of (n -tuples_on X),X
for p being FinSeqLen of n
for s being State of (1GateCircuit (p,f)) holds (Following s) . (Output (1GateCircStr (p,f))) = f . (s * p)
let X be non empty finite set ; for f being Function of (n -tuples_on X),X
for p being FinSeqLen of n
for s being State of (1GateCircuit (p,f)) holds (Following s) . (Output (1GateCircStr (p,f))) = f . (s * p)
let f be Function of (n -tuples_on X),X; for p being FinSeqLen of n
for s being State of (1GateCircuit (p,f)) holds (Following s) . (Output (1GateCircStr (p,f))) = f . (s * p)
let p be FinSeqLen of n; for s being State of (1GateCircuit (p,f)) holds (Following s) . (Output (1GateCircStr (p,f))) = f . (s * p)
let s be State of (1GateCircuit (p,f)); (Following s) . (Output (1GateCircStr (p,f))) = f . (s * p)
Output (1GateCircStr (p,f)) = [p,f]
by Th15;
hence
(Following s) . (Output (1GateCircStr (p,f))) = f . (s * p)
by CIRCCOMB:56; verum