196d899c02
This PR adds a monolithic `CommRing` class, for internal use by `grind`, and includes instances for `Int`/`BitVec`/`IntX`/`UIntX`.
17 lines
458 B
Text
17 lines
458 B
Text
class Trait (X : Type) where
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R : Type
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attribute [reducible] Trait.R
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def add_one {X} [Trait X] [One (Trait.R X)] [HAdd X (Trait.R X) X] (x : X) : X := x + (One.one : (Trait.R X))
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@[reducible] instance : Trait Int := ⟨Nat⟩
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instance : One Nat := ⟨1⟩
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instance : HAdd Int Nat Int := ⟨λ x y => x + y⟩
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def add_one_to_one (x : Int) (h : x = 1) : add_one (x : Int) = (2 : Int) := by
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conv =>
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pattern add_one _
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trace_state
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rw [h]
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rfl
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