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Youwen Wu 2025-01-06 18:46:43 -08:00
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@ -46,7 +46,7 @@ first two exam scores if it is higher.
= Chapter 1: Logic and Proofs = Chapter 1: Logic and Proofs
== Trivial Preliminaries == Trivial preliminaries
Definitions barely worth considering. Included purely for posterity. Definitions barely worth considering. Included purely for posterity.
@ -92,7 +92,8 @@ as *propositional forms*.
- $n = 2m + 1, exists m in ZZ$ - $n = 2m + 1, exists m in ZZ$
] ]
DeMorgan's Laws tell us how to distribute logical connectives across parentheses. DeMorgan's Laws tell us how to distribute logical connectives across
parentheses.
#theorem[DeMorgan's Laws][ #theorem[DeMorgan's Laws][
+ $not (P or Q) = not P and not Q$ + $not (P or Q) = not P and not Q$