isabelle: src/HOL/Quotient_Examples/Lift_Set.thy@c05e8209a3aa (annotated)

45576 6ea2bba2694a improving header bulwahn parents: 45536 diff changeset	1	(* Title: HOL/Quotient_Examples/Lift_Set.thy
45609 2c0c8ce96f4a misspelled name kuncar parents: 45576 diff changeset	2	Author: Lukas Bulwahn and Ondrej Kuncar
45536 5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	3	*)
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	4
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	5	header {* Example of lifting definitions with the quotient infrastructure *}
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	6
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	7	theory Lift_Set
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	8	imports Main
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	9	begin
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	10
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	11	typedef 'a set = "(UNIV :: ('a => bool) => bool)"
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	12	morphisms member Set by auto
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	13
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	14	text {* Here is some ML setup that should eventually be incorporated in the typedef command. *}
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	15
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	16	local_setup {* fn lthy =>
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	17	let
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	18	val quotients = {qtyp = @{typ "'a set"}, rtyp = @{typ "'a => bool"}, equiv_rel = @{term "dummy"}, equiv_thm = @{thm refl}}
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	19	val qty_full_name = @{type_name "set"}
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	20
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	21	fun qinfo phi = Quotient_Info.transform_quotients phi quotients
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	22	in lthy
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	23	\|> Local_Theory.declaration {syntax = false, pervasive = true}
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	24	(fn phi => Quotient_Info.update_quotients qty_full_name (qinfo phi)
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	25	#> Quotient_Info.update_abs_rep qty_full_name (Quotient_Info.transform_abs_rep phi {abs = @{term "Set"}, rep = @{term "member"}}))
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	26	end
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	27	*}
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	28
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	29	text {* Now, we can employ quotient_definition to lift definitions. *}
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	30
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	31	quotient_definition empty where "empty :: 'a set"
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	32	is "Set.empty"
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	33
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	34	term "Lift_Set.empty"
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	35	thm Lift_Set.empty_def
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	36
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	37	quotient_definition insert where "insert :: 'a => 'a set => 'a set"
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	38	is "Set.insert"
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	39
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	40	term "Lift_Set.insert"
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	41	thm Lift_Set.insert_def
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	42
5b0b1dc2e40f adding a preliminary example to show how the quotient_definition package can be generalized bulwahn parents: diff changeset	43	end

author	huffman
	Wed, 23 Nov 2011 07:00:01 +0100
changeset 45615	c05e8209a3aa
parent 45609	2c0c8ce96f4a
child 45694	4a8743618257
permissions	-rw-r--r--