6153474c00
This PR adds the instance `Neg UInt8`. This useful if you want to think about finite unsigned integers as a commutative ring.
36 lines
1.5 KiB
Text
36 lines
1.5 KiB
Text
example : UInt8.toFin 42 = 42 := by simp
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example : UInt16.toFin 42 = 42 := by simp
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example : UInt32.toFin 42 = 42 := by simp
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example : UInt64.toFin 42 = 42 := by simp
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example : USize.toFin 42 = 42 := by simp
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example : UInt8.toBitVec 42 = 42 := by simp
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example : UInt16.toBitVec 42 = 42 := by simp
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example : UInt32.toBitVec 42 = 42 := by simp
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example : UInt64.toBitVec 42 = 42 := by simp
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example : USize.toBitVec 42 = 42 := by simp
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example : UInt8.ofBitVec 42 = 42 := by simp
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example : UInt16.ofBitVec 42 = 42 := by simp
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example : UInt32.ofBitVec 42 = 42 := by simp
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example : UInt64.ofBitVec 42 = 42 := by simp
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example : USize.ofBitVec 42 = 42 := by simp
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example : (-1 : UInt8) = 255 := rfl
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example : (-1 : UInt8) = 255 := by native_decide
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example : (-1 : UInt16) = 65535 := rfl
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example : (-1 : UInt16) = 65535 := by native_decide
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example : (-1 : UInt32) = 4294967295 := rfl
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example : (-1 : UInt32) = 4294967295 := by native_decide
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example : (-1 : UInt64) = 18446744073709551615 := rfl
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example : (-1 : UInt64) = 18446744073709551615 := by native_decide
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example : (-1 : USize) = 18446744073709551615 := by
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apply USize.toBitVec_inj.1
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apply BitVec.eq_of_toNat_eq
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cases System.Platform.numBits_eq <;> simp_all
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example : (-1 : USize) = 18446744073709551615 := by native_decide
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-- TODO: turn into `by simp` when the relevant theory is in place
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example : UInt8.ofFin 42 = 42 := rfl
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example : UInt16.ofFin 42 = 42 := rfl
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example : UInt32.ofFin 42 = 42 := rfl
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example : UInt64.ofFin 42 = 42 := rfl
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example : USize.ofFin 42 = 42 := rfl
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