A Heyting domain is a Heyting cancellation ring (A,+,−,0,⋅,1,#)(A, +, -, 0, \cdot, 1, #) with a term p:0#1p: 0 # 1.
The integers are a Heyting domain.
The rational numbers are a Heyting domain
Every discrete domain is a Heyting domain.
Every Heyting skewfield is a Heyting skewfield.
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