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