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Rework eliminators if possible #3

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Russoul opened this issue Dec 8, 2023 · 1 comment

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enhancement priority: low scope: core

Owner

Russoul commented Dec 8, 2023

Γ (x : ℕ) ⊦ A type
Γ ⊦ z : A(0/x)
Γ (x : ℕ) (h : A) ⊦ s : A(S x/x)
Γ ⊦ t : ℕ
--------------------------------
Γ ⊦ ℕ-elim x.A z s t : A(t/x)

vs

Γ (x : ℕ) ⊦ A type
Γ ⊦ z : A(0/x)
Γ (x : ℕ) (h : A) ⊦ s : A(S x/x)
--------------------------------
Γ (x : ℕ) ⊦ ℕ-elim z s : A

Γ ⊦ f : (x : A) → B
Γ ⊦ t : A
------------------------
Γ (x : A) ⊦ f t : B(t/x)

vs

Γ ⊦ f : (x : A) → B
-------------------
Γ (x : A) ⊦ f @ : B

The text was updated successfully, but these errors were encountered:

Russoul added enhancement scope: core labels

Owner Author

Russoul commented Dec 8, 2023

Having looked into this again, I think there is no point. Succinct one together with substitution boils down to the one we have.

Russoul added the priority: low label

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