46 lines
1.9 KiB
Text
46 lines
1.9 KiB
Text
urec.lean:3:0: error: invalid user defined recursor, result type must be of the form (C t), where C is a bound variable, and t is a (possibly empty) sequence of bound variables
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urec.lean:5:0: error: invalid user defined recursor, 'nat.rec' is a builtin recursor
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urec.lean:19:0: error: invalid user defined recursor, type of the major premise 'a' must be for the form (I ...), where I is a constant
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myrec.{l_1 l_2} :
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Π (A : Type.{l_1}) (M : list.{l_1} A → Type.{l_2}) (l : list.{l_1} A),
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M (@nil.{l_1} A) → (Π (a : A), M [a]) → (Π (a₁ a₂ : A), M [a₁, a₂]) → M l
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recursor information
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num. parameters: 1
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num. indices: 0
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motive univ. pos.: 1
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motive pos.: 2
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major premise pos.: 3
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dep. elimination: 1
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parameters pos. at major: 1
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recursor information
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num. parameters: 0
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num. indices: 0
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recursor eliminate only to Prop
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motive pos.: 1
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major premise pos.: 2
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dep. elimination: 1
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vector.induction_on.{l_1} :
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∀ {A : Type.{l_1}} {C : Π (a : nat), vector.{l_1} A a → Prop} {a : nat} (n : vector.{l_1} A a),
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C nat.zero (@vector.nil.{l_1} A) →
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(∀ {n : nat} (a : A) (a_1 : vector.{l_1} A n), C n a_1 → C (nat.succ n) (@vector.cons.{l_1} A n a a_1)) →
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C a n
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recursor information
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num. parameters: 1
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num. indices: 1
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recursor eliminate only to Prop
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motive pos.: 2
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major premise pos.: 4
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dep. elimination: 1
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parameters pos. at major: 1
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indices pos. at major: 2
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Exists.rec.{l_1} :
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∀ {A : Type.{l_1}} {P : A → Prop} {C : Prop},
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(∀ (a : A), P a → C) → @Exists.{l_1} A P → C
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recursor information
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num. parameters: 2
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num. indices: 0
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recursor eliminate only to Prop
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motive pos.: 3
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major premise pos.: 5
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dep. elimination: 0
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parameters pos. at major: 1 2
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