61 lines
2 KiB
Text
61 lines
2 KiB
Text
/-
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Copyright (c) 2014 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Leonardo de Moura
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Types with a nat-valued complexity measure.
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-/
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prelude
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import init.nat init.meta.mk_has_sizeof_instance
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open nat tactic
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structure has_sizeof [class] (A : Type) :=
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(sizeof : A → nat)
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definition sizeof {A : Type} [s : has_sizeof A] : A → nat :=
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has_sizeof.sizeof
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definition prop_has_sizeof [instance] (p : Prop) : has_sizeof p :=
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has_sizeof.mk (λ t, zero)
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definition nat_has_sizeof [instance] : has_sizeof nat :=
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has_sizeof.mk (λ a, a)
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definition Type_has_sizeof [instance] : has_sizeof Type :=
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has_sizeof.mk (λ t, zero)
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definition Prop_has_sizeof [instance] : has_sizeof Prop :=
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has_sizeof.mk (λ t, zero)
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definition fn_has_sizeof [instance] (A : Type) (B : A → Type) : has_sizeof (Π x, B x) :=
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has_sizeof.mk (λf, zero)
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definition option.has_sizeof [instance] (A : Type) [has_sizeof A] : has_sizeof (option A) :=
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by mk_has_sizeof_instance
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definition prod_has_sizeof [instance] (A B : Type) [has_sizeof A] [has_sizeof B] : has_sizeof (prod A B) :=
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by mk_has_sizeof_instance
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definition sum_has_sizeof [instance] (A B : Type) [has_sizeof A] [has_sizeof B] : has_sizeof (sum A B) :=
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by mk_has_sizeof_instance
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definition list_has_sizeof [instance] (A : Type) [has_sizeof A] : has_sizeof (list A) :=
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by mk_has_sizeof_instance
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definition unit_has_sizeof [instance] : has_sizeof unit :=
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by mk_has_sizeof_instance
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definition bool_has_sizeof [instance] : has_sizeof bool :=
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by mk_has_sizeof_instance
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definition sigma_has_sizeof [instance] (A : Type) (B : A → Type) [has_sizeof A] [∀ x, has_sizeof (B x)] : has_sizeof (Σ x, B x) :=
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by mk_has_sizeof_instance
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definition subtype_has_sizeof [instance] (A : Type) (P : A → Prop) [has_sizeof A] : has_sizeof {x \ P x} :=
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by mk_has_sizeof_instance
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definition pos_num_has_sizeof [instance] : has_sizeof pos_num :=
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by mk_has_sizeof_instance
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definition num_has_sizeof [instance] : has_sizeof num :=
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by mk_has_sizeof_instance
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