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. 2010 Mar 3;5(3):e9511. doi: 10.1371/journal.pone.0009511

Table 7. Simplified version of the theorem representing the feed forward loop.

Theorem
A & A & B & C & RA& RA& RB ⊢ C
Demonstration
1. A & RA → A*RA
2. A * RA → A
3. A & RB → A*RB
4. (A*RB) & B → A*RB*B
5. (A*RB) *B → B
6. A & RA → A*RA
7. A*RA → A
8. A & B → A*B
9. (A*B) & C → (A*B) *C
10. (A*B) *C → C