26 lines
635 B
Text
26 lines
635 B
Text
import hit.quotient
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open quotient eq sum
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constants {A : Type} (R : A → A → Type)
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local abbreviation C := quotient R
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definition f [unfold 2] (a : A) (x : unit) : C :=
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!class_of a
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inductive S : C → C → Type :=
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| Rmk {} : Π(a : A) (x : unit), S (f a x) (!class_of a)
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set_option pp.notation false
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set_option pp.beta false
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definition rec {P : quotient S → Type} (x : quotient S) : P x :=
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begin
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induction x with c c c' H,
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{ induction c with b b b' H,
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{ apply sorry},
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{ apply sorry}},
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{ cases H, esimp, induction x,
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{ state, esimp, state, esimp, state, apply sorry}},
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end
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