lean2/tests/lean/run/e14.lean
Leonardo de Moura 8743394627 refactor(kernel/inductive): replace recursor name, use '.rec' instead of '_rec'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-04 15:04:57 -07:00

34 lines
725 B
Text

inductive nat : Type :=
zero : nat,
succ : nat → nat
inductive list (A : Type) : Type :=
nil {} : list A,
cons : A → list A → list A
check nil
check nil.{1}
check @nil.{1} nat
check @nil nat
check cons zero nil
inductive vector (A : Type) : nat → Type :=
vnil {} : vector A zero,
vcons : forall {n : nat}, A → vector A n → vector A (succ n)
check vcons zero vnil
variable n : nat
check vcons n vnil
check vector.rec
definition vector_to_list {A : Type} {n : nat} (v : vector A n) : list A
:= vector.rec (@nil A) (fun (n : nat) (a : A) (v : vector A n) (l : list A), cons a l) v
coercion vector_to_list
variable f : forall {A : Type}, list A → nat
check f (cons zero nil)
check f (vcons zero vnil)