13 lines
390 B
Text
13 lines
390 B
Text
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-- HoTT
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import types.sigma
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open sigma sigma.ops eq
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definition dpair_sigma_eq {A : Type} {B : A → Type} {u v : Σa, B a} (p : u.1 = v.1) (q : u.2 =[p] v.2)
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: ⟨(sigma_eq p q)..1, (sigma_eq p q)..2⟩ = ⟨p, q⟩ :=
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begin
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induction u with u₁ u₂,
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induction v with v₁ v₂,
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esimp at q,
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induction q, -- Should fail here since index p depends one index v₂
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reflexivity
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end
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