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> 2014-08-25 02:58:48 +00:00			`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 23:36:06 +00:00			`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 01:53:02 +00:00
feat(frontends/lean): force 'classes' to be declared before instances are declared, closes #228 2014-10-08 01:02:15 +00:00			`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 23:36:06 +00:00			`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 01:53:02 +00:00
refactor(*): rename Bool to Prop Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-22 16:43:18 +00:00			`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 23:36:06 +00:00			`:= 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 01:53:02 +00:00
refactor(frontends/lean/placeholder_elaborator): reduce coupling between placeholder_elaborator and frontends/lean 2014-12-19 23:08:21 +00:00			`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 19:47:01 +00:00
feat(library/tactic/class_instance_synth): create class instance synthesis subproblems only for arguments marked with the `[]` binder annotation 2015-02-25 00:10:16 +00:00			`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 23:36:06 +00:00			`:= 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 01:53:02 +00:00
			`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 2014-09-26 02:46:08 +00:00			`theorem T1 {A : Type} (a : A) : inh A :=`
feat(frontends/lean): round parenthesis for [tactic1 \| tactic2] This commit also replaces the notation for divides `(` a `\|` b `)` with a `∣` b The character `∣` is entered by typing \\| closes #516 2015-04-06 16:24:09 +00:00			`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 01:53:02 +00:00
refactor(*): rename Bool to Prop Signed-off-by: Leonardo de Moura <leonardo@microsoft.com> 2014-07-22 16:43:18 +00:00			`theorem T2 : inh Prop`