lean2/tests/lean/interactive/t7.lean

import Int.
(* import("tactic.lua") *)
variable q : Int -> Int -> Bool.
variable p : Int -> Bool.
axiom Ax (a b : Int) (H : q a b) : p b.
variable a : Int.
theorem T (x : Int) : (q a x) → (p x).
    apply (Ax a).
    exact.
    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			`import Int.`
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			`variable q : Int -> Int -> Bool.`
			`variable p : Int -> Bool.`
			`axiom Ax (a b : Int) (H : q a b) : p b.`
			`variable a : Int.`
feat(kernel): use Pi as forall/implication Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-08 08:38:39 +00:00			`theorem T (x : Int) : (q a x) → (p x).`
feat(frontends/lean/parser): add assumption command, and allow Lean expressions (proof terms) to be used with apply tactic command Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-06 04:08:36 +00:00			`apply (Ax 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			`exact.`
feat(frontends/lean/parser): add assumption command, and allow Lean expressions (proof terms) to be used with apply tactic command Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2013-12-06 04:08:36 +00:00			`done.`