- P ∧
Q ) ∴ ¬ P ∨ ¬
Q ¬ P ∨ ¬
Q ∴ ¬ ( P ∧
Q ) {\displaystyle {\frac {\neg (P\
land Q)}{\therefore \neg P\lor \neg
Q}}\qquad {\frac {\neg P\lor \neg
Q}{\therefore...
-
Kotaro Nakagawa composed the music.
Sword Gai: The
Animation was
animated by
LandQ Studios. The
opening theme song is "Sadame Goto" (サダメゴト, What is Predestined)...
- ↮
q = ( p ∧ ¬
q ) ∨ ( ¬ p ∧
q ) = p
q ¯ + p ¯
q = ( p ∨
q ) ∧ ( ¬ p ∨ ¬
q ) = ( p +
q ) ( p ¯ +
q ¯ ) = ( p ∨
q ) ∧ ¬ ( p ∧
q ) = ( p +
q ) ( p
q ¯ )...
- ((Q\lor R)\
land (
Q\lor S)))&&\\&((P\lor
Q)&&\;\
land (R\lor S))&&\;\Leftrightarrow \;&&(((P\
land R)\lor (P\
land S))&&\;\lor ((
Q\
land R)\lor (
Q\
land S)))&&\\\end{alignedat}}}...
-
series was
directed and
produced by
Yoshinori Odaka, with
animation by
LandQ Studios,
scripts written by
Shigeru Murakoshi, and
character designs by...
- ¬
q →
q ) →
q {\displaystyle (\neg
q\to
q)\to
q} (instance of (L3)) ( ( ¬
q →
q ) →
q ) → ( ( ( ¬
q → p ) → ( ¬
q →
q ) ) → ( ( ¬
q → p ) →
q )...
- {\lnot (p\
land q\
land r)}}\
land {\underline {\lnot (p\
land q\
land \lnot r)}}\
land {\underline {\lnot (p\
land \lnot
q\
land \lnot r)}}\
land {\underline...
- ∧ (
Q ∧ R ) ) {\displaystyle ((P\
land Q)\
land R)\leftrightarrow (P\
land (
Q\
land R))} ****ociativity of
equivalence ( ( P ↔
Q ) ↔ R ) ↔ ( P ↔ (
Q ↔ R )...
-
language as: P ∧
Q ∴ P {\displaystyle {\frac {P\
land Q}{\therefore P}}} and P ∧
Q ∴
Q {\displaystyle {\frac {P\
land Q}{\therefore
Q}}} The two sub-rules...
-
written in
sequent notation: P ,
Q ⊢ P ∧
Q {\displaystyle P,
Q\vdash P\
land Q}
where P {\displaystyle P} and
Q {\displaystyle
Q} are
propositions expressed...
