X-Git-Url: https://git.shemshak.org/~bandali/bndl.org/blobdiff_plain/ff620ce6ac85cf10600b3da9a640f6ebc3568444..56af22d033482f66966fb7b8edc2bb18f2fec477:/se212-f19/se212-h02q04d-soln.grg?ds=sidebyside;pf=~bandali

diff --git a/se212-f19/se212-h02q04d-soln.grg b/se212-f19/se212-h02q04d-soln.grg
deleted file mode 100644
index e395717..0000000
--- a/se212-f19/se212-h02q04d-soln.grg
+++ /dev/null
@@ -1,25 +0,0 @@
-#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