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14 lines
479 B
Plaintext
14 lines
479 B
Plaintext
[ |- (A -> B) v (B -> A) ]
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------------------------------ Reductio ad absurdum
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[ ~ ((A -> B) v (B -> A)) |- _|_ ]
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------------------------------ de Morgan 1
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[ ~ (A -> B) & ~ (B -> A) |- _|_ ]
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------------------------------ Conjunction split
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[ ~ (A -> B), ~ (B -> A) |- _|_ ]
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------------------------------ Implication negation
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[ A, ~ (B -> A) |- _|_ ]
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------------------------------ Implication negation
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[ A, ~ A |- _|_ ]
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------------------------------ Ex falso quodlibet _|_
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Ø
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