mirror of
https://github.com/GrammaticalFramework/gf-core.git
synced 2026-04-10 13:29:32 -06:00
14 lines
479 B
Plaintext
14 lines
479 B
Plaintext
[ |- (A -> B) v (B -> A) ]
|
|
------------------------------ Reductio ad absurdum
|
|
[ ~ ((A -> B) v (B -> A)) |- _|_ ]
|
|
------------------------------ de Morgan 1
|
|
[ ~ (A -> B) & ~ (B -> A) |- _|_ ]
|
|
------------------------------ Conjunction split
|
|
[ ~ (A -> B), ~ (B -> A) |- _|_ ]
|
|
------------------------------ Implication negation
|
|
[ A, ~ (B -> A) |- _|_ ]
|
|
------------------------------ Implication negation
|
|
[ A, ~ A |- _|_ ]
|
|
------------------------------ Ex falso quodlibet _|_
|
|
Ø
|