SOLUTION: Replacement Rules to solve the following proof: (¬B∨ ¬H)→ M,K ∧ ¬M∴ B
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Question 996079
:
Replacement Rules to solve the following proof:
(¬B∨ ¬H)→ M,K ∧ ¬M∴ B
Answer by
jim_thompson5910(35256)
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Number
Statement
Lines Used
Reason
1
(~B v ~H) --> M
2
K & ~M
:.
B
3
~M & K
2
Comm
4
~M
3
Simp
5
~(~B v ~H)
1,4
MT
6
~~B & ~~H
5
DM
7
B & H
6
DN
8
B
7
Simp
Abbreviations/Acronyms Used:
Comm = Commutation
DM = De Morgan's Law
DN = Double Negation
MT = Modus Tollens
Simp = Simplification