lean2/tests/lean/run/class7.lean

import logic
open tactic

inductive inh [class] (A : Type) : Type :=
intro : A -> inh A

theorem inh_bool [instance] : inh Prop
:= inh.intro true

set_option class.trace_instances true

theorem inh_fun [instance] {A B : Type} [H : inh B] : inh (A → B)
:= inh.rec (λ b, inh.intro (λ a : A, b)) H

theorem tst {A B : Type} (H : inh B) : inh (A → B → B)

theorem T1 {A : Type} (a : A) : inh A :=
by repeat [apply @inh.intro | eassumption]

theorem T2 : inh Prop
chore(*): minimize dependencies on tests Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-08-24 19:58:48 -07:00			`import logic`
feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-09-04 16:36:06 -07:00			`open tactic`
refactor(frontends/lean/elaborator): modify when tactic_hints are invoked, add the notion of strict placeholder Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-14 02:53:02 +01:00
feat(frontends/lean): force 'classes' to be declared before instances are declared, closes #228 2014-10-07 18:02:15 -07:00			`inductive inh [class] (A : Type) : Type :=`
feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-09-04 16:36:06 -07:00			`intro : A -> inh A`
refactor(frontends/lean/elaborator): modify when tactic_hints are invoked, add the notion of strict placeholder Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-14 02:53:02 +01:00
refactor(*): rename Bool to Prop Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-22 09:43:18 -07:00			`theorem inh_bool [instance] : inh Prop`
feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-09-04 16:36:06 -07:00			`:= inh.intro true`
refactor(frontends/lean/elaborator): modify when tactic_hints are invoked, add the notion of strict placeholder Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-14 02:53:02 +01:00
refactor(frontends/lean/placeholder_elaborator): reduce coupling between placeholder_elaborator and frontends/lean 2014-12-19 15:08:21 -08:00			`set_option class.trace_instances true`
feat(frontends/lean): include file-name and line/col numbers when displaying class-instance resolution trace 2014-11-09 11:47:01 -08:00
feat(library/tactic/class_instance_synth): create class instance synthesis subproblems only for arguments marked with the `[]` binder annotation 2015-02-24 16:10:16 -08:00			`theorem inh_fun [instance] {A B : Type} [H : inh B] : inh (A → B)`
feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-09-04 16:36:06 -07:00			`:= inh.rec (λ b, inh.intro (λ a : A, b)) H`
refactor(frontends/lean/elaborator): modify when tactic_hints are invoked, add the notion of strict placeholder Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-14 02:53:02 +01:00
			`theorem tst {A B : Type} (H : inh B) : inh (A → B → B)`

feat(frontends/lean/elaborator): discard partial solution during class-instance resolution, use only tactic_hints associated with classes, enforce is_strict 2014-09-25 19:46:08 -07:00			`theorem T1 {A : Type} (a : A) : inh A :=`
			`by repeat [apply @inh.intro \| eassumption]`
refactor(frontends/lean/elaborator): modify when tactic_hints are invoked, add the notion of strict placeholder Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-14 02:53:02 +01:00
refactor(*): rename Bool to Prop Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-22 09:43:18 -07:00			`theorem T2 : inh Prop`