22 lines
607 B
Text
22 lines
607 B
Text
definition Prop : Type.{1} := Type.{0}
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variable N : Type.{1}
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variable and : Prop → Prop → Prop
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infixr `∧`:35 := and
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variable le : N → N → Prop
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variable lt : N → N → Prop
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variable f : N → N
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variable add : N → N → N
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infixl `+`:65 := add
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precedence `≤`:50
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precedence `<`:50
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infixl ≤ := le
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infixl < := lt
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notation A ≤ B:prev ≤ C:prev := A ≤ B ∧ B ≤ C
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notation A ≤ B:prev < C:prev := A ≤ B ∧ B < C
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notation A < B:prev ≤ C:prev := A < B ∧ B ≤ C
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variables a b c d e : N
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check a ≤ b ≤ f c + b ∧ a < b
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check a ≤ d
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check a < b ≤ c
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check a ≤ b < c
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check a < b
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