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PA Prop FillIn Ch1-2
| Name/Start | End |
|---|---|
| Substitution: If a = b then | a can be replaced by b |
| Commutative (Addition): a + b = | b + a |
| Commutative (Multiplication): ab = | ba |
| Associative (Addition): (a + b) + c = | a + (b + c) |
| Associative (Multiplication): (ab)c = | a(bc) |
| Identity (Addition): a + 0 = | a |
| Identity (Multiplication): a x 1 = | a |
| Zero Product: a x 0 = | 0 |
| Symmetric: If a = b then | b = a |
| Transitive: If a = b and b = c, then | a = c |
| Inverse (Addition) a + | -a = 0 |