Exercise logic.propositional.consequence
Description
Prove that formula is a logical consequence of a set of formulas
All applications
Rule | command.sort |
Location | [0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(q /\ ~r) || (~~r /\ ~q) => p -> (q || r)
ready: no
Rule | command.sort |
Location | [0,0,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~q /\ ~~r) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
F || (~r /\ q) || (~~r /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
F || (~r /\ q) || (~~r /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
((F || ~r) /\ q) || (~~r /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~(F || r) /\ q) || (~~r /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,0,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ (F || q)) || (~~r /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || F || (~~r /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || ((F || ~~r) /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,1,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~(F || ~r) /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,1,0,0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~(F || r) /\ ~q) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,1,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ (F || ~q)) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [0,0,1,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ ~(F || q)) => p -> (q || r)
ready: no
Rule | introfalseleft |
Location | [1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ ~q) => F || (p -> (q || r))
ready: no
Rule | introfalseleft |
Location | [1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ ~q) => (F || p) -> (q || r)
ready: no
Rule | introfalseleft |
Location | [1,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ ~q) => p -> (F || q || r)
ready: no
Rule | introfalseleft |
Location | [1,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ ~q) => p -> (F || q || r)
ready: no
Rule | introfalseleft |
Location | [1,1,1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ ~q) => p -> (q || F || r)
ready: no
Rule | logic.propositional.defimpl |
Location | [1] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (~~r /\ ~q) => ~p || q || r
ready: no
Rule | logic.propositional.notnot |
Location | [0,0,1,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r /\ q) || (r /\ ~q) => p -> (q || r)
ready: no
Rule | logic.propositional.oroverand |
Location | [0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
((~r /\ q) || ~~r) /\ ((~r /\ q) || ~q) => p -> (q || r)
ready: no
Rule | logic.propositional.oroverand |
Location | [0,0] |
![](http://ideas.cs.uu.nl/images/external.png)
(~r || (~~r /\ ~q)) /\ (q || (~~r /\ ~q)) => p -> (q || r)
ready: no