lean2/tests/lean/abst.lean

import Int.
axiom PlusComm(a b : Int) : a + b = b + a.
variable a : Int.
check (funext (fun x : Int, (PlusComm a x))).
set_option pp::implicit true.
check (funext (fun x : Int, (PlusComm a x))).
feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-05 12:05:08 -08:00			`import Int.`
refactor(kernel): remove heterogeneous equality Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-16 15:07:51 -08:00			`axiom PlusComm(a b : Int) : a + b = b + a.`
feat(frontends/lean): use lowercase commands, replace 'endscope' and 'endnamespace' with 'end' Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-05 12:05:08 -08:00			`variable a : Int.`
refactor(builtin/kernel): prove eta using function extensionality, and rename abst and abstpi to funext and allext Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-08 17:25:14 -08:00			`check (funext (fun x : Int, (PlusComm a x))).`
chore(*): cleanup lean builtin symbols, replace :: with _ Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-09 08:33:52 -08:00			`set_option pp::implicit true.`
refactor(builtin/kernel): prove eta using function extensionality, and rename abst and abstpi to funext and allext Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-01-08 17:25:14 -08:00			`check (funext (fun x : Int, (PlusComm a x))).`