17 lines
533 B
Text
17 lines
533 B
Text
definition range (lower : nat) (upper : nat) : set nat :=
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λ a, lower ≤ a ∧ a ≤ upper
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local notation `[` L `, ` U `]` := range L U
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variables s : set nat
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variables p : nat → nat → Prop
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-- #check a ∈ s
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set_option pp.binder_types true
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#check ∀ b c a ∈ s, a + b + c > 0
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-- ∀ (b c a : ℕ), b ∈ s → c ∈ s → a ∈ s → a + b + c > 0 : Prop
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#check ∀ a < 5, p a (a+1)
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-- ∀ (a : ℕ), a < 5 → p a (a + 1) : Prop
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#check ∀ a b ∈ [2, 3], p a b
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-- ∀ (a b : ℕ), a ∈ [2, 3] → b ∈ [2, 3] → p a b
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