isabelle: src/HOLCF/One.thy@25cb0fe2e1c6 (annotated)

2640 ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2275 diff changeset	1	(* Title: HOLCF/One.thy
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	2	ID: $Id$
2640 ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2275 diff changeset	3	Author: Oscar Slotosch
15576 efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	4	License: GPL (GNU GENERAL PUBLIC LICENSE)
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	5	*)
c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	6
15577 e16da3068ad6 fix headers huffman parents: 15576 diff changeset	7	header {* The unit domain *}
e16da3068ad6 fix headers huffman parents: 15576 diff changeset	8
e16da3068ad6 fix headers huffman parents: 15576 diff changeset	9	theory One
e16da3068ad6 fix headers huffman parents: 15576 diff changeset	10	imports Lift
e16da3068ad6 fix headers huffman parents: 15576 diff changeset	11	begin
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	12
15576 efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	13	types one = "unit lift"
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	14
3717 e28553315355 eliminated rules; wenzelm parents: 2640 diff changeset	15	constdefs
e28553315355 eliminated rules; wenzelm parents: 2640 diff changeset	16	ONE :: "one"
e28553315355 eliminated rules; wenzelm parents: 2640 diff changeset	17	"ONE == Def ()"
2640 ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2275 diff changeset	18
ee4dfce170a0 Changes of HOLCF from Oscar Slotosch: slotosch parents: 2275 diff changeset	19	translations
3717 e28553315355 eliminated rules; wenzelm parents: 2640 diff changeset	20	"one" <= (type) "unit lift"
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	21
15576 efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	22	(* Title: HOLCF/One.ML
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	23	ID: $Id$
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	24	Author: Oscar Slotosch
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	25	License: GPL (GNU GENERAL PUBLIC LICENSE)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	26
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	27	The unit domain.
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	28	*)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	29
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	30	(* ------------------------------------------------------------------------ *)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	31	(* Exhaustion and Elimination for type one *)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	32	(* ------------------------------------------------------------------------ *)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	33
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	34	lemma Exh_one: "t=UU \| t = ONE"
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	35	apply (unfold ONE_def)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	36	apply (induct t)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	37	apply simp
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	38	apply simp
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	39	done
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	40
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	41	lemma oneE: "[\| p=UU ==> Q; p = ONE ==>Q\|] ==>Q"
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	42	apply (rule Exh_one [THEN disjE])
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	43	apply fast
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	44	apply fast
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	45	done
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	46
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	47	lemma dist_less_one [simp]: "~ONE << UU"
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	48	apply (unfold ONE_def)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	49	apply (simp add: inst_lift_po)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	50	done
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	51
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	52	lemma dist_eq_one [simp]: "ONE~=UU" "UU~=ONE"
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	53	apply (unfold ONE_def)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	54	apply (simp_all add: inst_lift_po)
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	55	done
efb95d0d01f7 converted to new-style theories, and combined numbered files huffman parents: 14981 diff changeset	56
243 c22b85994e17 Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF nipkow parents: diff changeset	57	end

author	quigley
	Mon, 23 May 2005 15:16:36 +0200
changeset 16048	25cb0fe2e1c6
parent 15577	e16da3068ad6
child 16070	4a83dd540b88
permissions	-rw-r--r--