3a408e0e54
This PR changes the signature of `Array.get` to take a Nat and a proof, rather than a `Fin`, for consistency with the rest of the (planned) Array API. Note that because of bootstrapping issues we can't provide `get_elem_tactic` as an autoparameter for the proof. As users will mostly use the `xs[i]` notation provided by `GetElem`, this hopefully isn't a problem. We may restore `Fin` based versions, either here or downstream, as needed, but they won't be the "main" functions. --------- Co-authored-by: David Thrane Christiansen <david@davidchristiansen.dk>
17 lines
433 B
Text
17 lines
433 B
Text
def f (a : Array Nat) (i : Nat) (v : Nat) (h : i < a.size) : Array Nat :=
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a.set i (a.get i h + v)
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set_option pp.proofs true
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theorem ex1 (h₃ : i = j) : f a i (0 + v) h₁ = f a j v h₂ := by
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simp
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trace_state
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simp [h₃]
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theorem ex2 (h₃ : i = j) : f a (0 + i) (0 + v) h₁ = f a j v h₂ := by
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simp
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trace_state
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simp [h₃]
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theorem ex3 (h₃ : i = j) : f a (0 + i) (0 + v) h₁ = f a j v h₂ := by
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simp [h₃]
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