✅ All final values are → Contradiction . Exercise 9: Logical Equivalence Problem: Verify that ( \neg (p \land q) \equiv \neg p \lor \neg q ) (De Morgan’s Law).
| ( p ) | ( q ) | ( p \land q ) | ( \neg(p \land q) ) | ( \neg p ) | ( \neg q ) | ( \neg p \lor \neg q ) | |--------|--------|----------------|-----------------------|--------------|--------------|--------------------------| | V | V | V | F | F | F | F | | V | F | F | V | F | V | V | | F | V | F | V | V | F | V | | F | F | F | V | V | V | V | --- Logica Matematica Tablas De Verdad Ejercicios Resueltos
| ( p ) | ( q ) | ( p \to q ) | ( q \to p ) | ( (p \to q) \lor (q \to p) ) | |--------|--------|--------------|--------------|-------------------------------| | V | V | V | V | V | | V | F | F | V | V | | F | V | V | F | V | | F | F | V | V | V | ✅ All final values are → Contradiction
( p, q, r ) → ( 2^3 = 8 ) rows.
| ( p ) | ( \neg p ) | |--------|--------------| | V | F | | F | V | Problem: Build the truth table for ( p \land q ). | ( p ) | ( \neg p