lean2/tests/lean/tactic2.lean
Leonardo de Moura 4ba097a141 feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 13:06:36 -08:00

38 lines
No EOL
879 B
Text

(* import("tactic.lua") *)
variables p q r : Bool
theorem T1 : p => q => p /\ q :=
Discharge (fun H1,
Discharge (fun H2,
let H1 : p := _,
H2 : q := _
in Conj H1 H2
)).
exact -- solve first metavar
done
exact -- solve second metavar
done
(*
simple_tac = Repeat(imp_tac() ^ conj_tac() ^ assumption_tac())
*)
theorem T2 : p => q => p /\ q /\ p := _.
simple_tac
done
print environment 1
theorem T3 : p => p /\ q => r => q /\ r /\ p := _.
(* Repeat(OrElse(imp_tac(), conj_tac(), conj_hyp_tac(), assumption_tac())) *)
done
-- Display proof term generated by previous tac
print environment 1
theorem T4 : p => p /\ q => r => q /\ r /\ p := _.
Repeat (OrElse (apply Discharge) (apply Conj) conj_hyp exact)
done
-- Display proof term generated by previous tac --
print environment 1