lean2/tests/lean/tactic12.lean

(** import("tactic.lua") **)
Theorem T (a b : Bool) : ((fun x, x /\ b) a) => ((fun x, x) a).
   beta.
   apply Discharge.
   conj_hyp.
   exact.
   done.

Variables p q : Bool.
Theorem T2 : p /\ q => q.
   apply Discharge.
   conj_hyp.
   exact.
   done.
refactor(frontends/lean/parser): tactic macros, and tactic Lua bindings Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-26 23:54:53 +00:00			`( import("tactic.lua") )`
feat(frontends/parser): simplified theorem definition using tactical proof When using tactics for proving theorems, a common pattern is Theorem T : <proposition> := _. apply <tactic>. ... done. This commit allows the user to write the simplified form: Theorem T : <proposition>. apply <tactic>. ... done. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-02 16:20:13 +00:00			`Theorem T (a b : Bool) : ((fun x, x /\ b) a) => ((fun x, x) a).`
refactor(frontends/lean/parser): tactic macros, and tactic Lua bindings Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-26 23:54:53 +00:00			`beta.`
			`apply Discharge.`
			`conj_hyp.`
			`exact.`
feat(frontends/parser): simplified theorem definition using tactical proof When using tactics for proving theorems, a common pattern is Theorem T : <proposition> := _. apply <tactic>. ... done. This commit allows the user to write the simplified form: Theorem T : <proposition>. apply <tactic>. ... done. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-02 16:20:13 +00:00			`done.`

			`Variables p q : Bool.`
			`Theorem T2 : p /\ q => q.`
refactor(frontends/lean/parser): tactic macros, and tactic Lua bindings Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-26 23:54:53 +00:00			`apply Discharge.`
			`conj_hyp.`
			`exact.`
feat(frontends/parser): simplified theorem definition using tactical proof When using tactics for proving theorems, a common pattern is Theorem T : <proposition> := _. apply <tactic>. ... done. This commit allows the user to write the simplified form: Theorem T : <proposition>. apply <tactic>. ... done. Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-02 16:20:13 +00:00			`done.`