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[Coq-Club] Induction Principle


Chronological Thread 
  • From: Carmine Abate <carmine.abate AT inria.fr>
  • To: coq-club AT inria.fr
  • Subject: [Coq-Club] Induction Principle
  • Date: Tue, 12 Jun 2018 14:03:23 +0200 (CEST)

Hi everybody, 
can some-one tell me how does Coq write the term α_ind
(and eventually α_rect) for a generic inductive type α, like the following? 

Inductive α (b₁ : B₁) .. (bᵤ : Bᵤ) : ∏_{ z₁ : Q₁ .. zₘ : Qₘ} s := 
 | c₁ : ∏_{x₁ : P₁₁ .. xₖ₁ : P₁ₖ₁} α (b₁ : B₁) .. (bᵤ : Bᵤ) M₁₁ .. M₁ₘ 
    ...
 | cₙ : ∏_{x₁ : Pn₁ .. xₖₙ : P₁ₖₙ} α (b₁ : B₁) .. (bᵤ : Bᵤ) Mₙ₁ .. Mₙₘ



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