fa: add missing abbrs for kernel in computing post in the feeds
[~bandali/bndl.org] / se212-f19 / se212-h02q04d-soln.grg
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-#u abandali
-#a h02
-
-#q q04d
-
-p <=> q, p & q <=> (p | q)
-
-#check TP
-
-p <=> q  <->  p & q <=> (p | q)
-
- 1) p & q             <=> (p | q)
- 2) (p & q   => p | q) &  (p | q => p & q)                by equiv
- 3) (!(p & q) | p | q) & (!(p | q) | p & q)               by impl * 2
- 4) (!p | !q  | p | q) & (!(p | q) | p & q)               by dm
- 5) (true | !q | q)    & (!(p | q) | p & q)               by lem
- 6) true               & (!(p | q) | p & q)               by simp1
- 7)                       !(p | q) | p & q                by simp1
- 8)                       !p & !q  | p & q                by dm
- 9)                  (!p & !q | p) & (!p & !q | q)        by distr
-10)            (!p | p) & (!q | p) & (!p | q) & (!q | q)  by distr * 2
-11)                true & (!q | p) & (!p | q) & true      by lem * 2
-12)                       (!q | p) & (!p | q)             by simp1 * 2
-13)                       (q => p) & (p => q)             by impl * 2
-14)                       p <=> q                         by equiv
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+../../site-files/se212-f19/se212-h02q04d-soln.grg
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