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.
feat(frontends/lean): use '(* ... )' instead of '(* ... **)' for script code blocks Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-05 18:32:47 +00:00			`(* import("tactic.lua") *)`
feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-05 20:05:08 +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.`
feat(*): change name conventions for Lean builtin libraries Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-06 03:10:21 +00:00			`apply discharge.`
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			`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.`

feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-05 20:05:08 +00:00			`variables p q : Bool.`
			`theorem T2 : p /\ q => q.`
feat(*): change name conventions for Lean builtin libraries Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-06 03:10:21 +00:00			`apply discharge.`
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			`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.`