47548aa171
This PR unifies the existing functions `UIntX.ofNatCore` and `UIntX.ofNat'` under a new name, `UIntX.ofNatLT`.
84 lines
1.3 KiB
Text
84 lines
1.3 KiB
Text
def foo (_ : Nat) := (10 : UInt32)
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example (h : x = 8) : x = (8 : UInt32).toNat := by
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simp
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trace_state
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assumption
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example (h : x = 8) : x = UInt32.ofNatLT 8 (by decide) := by
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simp
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trace_state
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assumption
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example : foo x = 8 + 2 := by
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simp
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trace_state
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rw [foo]
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example : foo x = 5 * 2 := by
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simp
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trace_state
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rw [foo]
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example : foo x = 12 - 2 := by
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simp
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trace_state
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rw [foo]
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example : foo x = 20 / 2 := by
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simp
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trace_state
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rw [foo]
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example : foo x = 110 % 100 := by
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simp
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trace_state
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rw [foo]
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example : foo x = (3+2)*2 := by
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simp
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trace_state
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rw [foo]
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def boo (_ : Nat) := True
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example : boo x ↔ (2 : UInt32) < 3 := by
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simp
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trace_state
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trivial
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example : boo x ↔ (3 : UInt32) > 2 := by
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simp
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trace_state
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trivial
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example : boo x ↔ (2 : UInt32) ≤ 3 := by
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simp
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trace_state
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trivial
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example : boo x ↔ (3 : UInt32) ≥ 2 := by
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simp
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trace_state
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trivial
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example (h : x = false) : x = ((3 : UInt32) == 4) := by
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simp
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trace_state
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assumption
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example (h : x = true) : x = ((3 : UInt32) != 4) := by
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simp
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trace_state
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assumption
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example (h : ¬x) : x = ((3 : UInt32) = 4) := by
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simp
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trace_state
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assumption
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example (h : x) : x = ((3 : UInt32) ≠ 4) := by
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simp
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trace_state
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assumption
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