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fix: omega: ignore levels in canonicalizer (#3853)
fixes #3848
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theorem sizeOf_snd_lt_sizeOf_list | ||
{α : Type u} {β : Type v} [SizeOf α] [SizeOf β] {x : α × β} {xs : List (α × β)} : | ||
x ∈ xs → sizeOf x.snd < 1 + sizeOf xs | ||
:= by | ||
intro h | ||
have h1 := List.sizeOf_lt_of_mem h | ||
have h2 : sizeOf x = 1 + sizeOf x.1 + sizeOf x.2 := rfl | ||
cases x; dsimp at * | ||
omega -- this only works if universe levels are normalizes by the omega canonicalizier | ||
|
||
-- another example | ||
theorem ex.{u,v} : sizeOf PUnit.{(max u v) + 1} = sizeOf PUnit.{max (u + 1) (v + 1)} := by omega |