in goal | in hypotheses | |
---|---|---|
A -> B | intros | apply |
A /\ B | split | destruct |
A \/ B | left/right | destruct |
~A | intro | apply |
True | trivial | N/A |
False | N/A | contradiction |
forall x, P x | intros | apply |
exists x, P x | exists t | destruct |
t = u | reflexivity | rewrite/inversion |
in goal | in hypotheses | |
---|---|---|
A -> B | intros | apply |
A /\ B | split | destruct |
A \/ B | left/right | destruct |
~A | intro | apply |
True | trivial | N/A |
False | N/A | contradiction |
forall x, P x | intros | apply |
exists x, P x | exists t | destruct |
t = u | reflexivity | rewrite/inversion |