lean4-htt/tests/lean/simprocEval3.lean
2024-02-17 17:51:24 -08:00

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def foo (_ : Nat) := (10 : UInt32)
example (h : x = 8) : x = (8 : UInt32).toNat := by
simp
trace_state
assumption
example (h : x = 8) : x = UInt32.ofNatCore 8 (by decide) := by
simp
trace_state
assumption
example : foo x = 8 + 2 := by
simp
trace_state
rw [foo]
example : foo x = 5 * 2 := by
simp
trace_state
rw [foo]
example : foo x = 12 - 2 := by
simp
trace_state
rw [foo]
example : foo x = 20 / 2 := by
simp
trace_state
rw [foo]
example : foo x = 110 % 100 := by
simp
trace_state
rw [foo]
example : foo x = (3+2)*2 := by
simp
trace_state
rw [foo]
def boo (_ : Nat) := True
example : boo x ↔ (2 : UInt32) < 3 := by
simp
trace_state
trivial
example : boo x ↔ (3 : UInt32) > 2 := by
simp
trace_state
trivial
example : boo x ↔ (2 : UInt32) ≤ 3 := by
simp
trace_state
trivial
example : boo x ↔ (3 : UInt32) ≥ 2 := by
simp
trace_state
trivial
example (h : x = false) : x = ((3 : UInt32) == 4) := by
simp
trace_state
assumption
example (h : x = true) : x = ((3 : UInt32) != 4) := by
simp
trace_state
assumption
example (h : ¬x) : x = ((3 : UInt32) = 4) := by
simp
trace_state
assumption
example (h : x) : x = ((3 : UInt32) ≠ 4) := by
simp
trace_state
assumption