35 lines
735 B
Text
35 lines
735 B
Text
example : ∃ x : nat, x = x :=
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Exists.intro 0 rfl
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example : ∃ x : nat, x = x :=
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exists.intro 0 rfl
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lemma ex1 : ∃ x : nat, x = x :=
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Exists.intro 0 rfl
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lemma ex2 : ∃ x : nat, x = x :=
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exists.intro 0 rfl
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lemma ex3 : ∃ x y : nat, x = y :=
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exists.intro 0 (exists.intro 0 rfl)
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lemma ex4 : ∃ x y : nat, x = y + 1 :=
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exists.intro 1 (exists.intro 0 rfl)
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lemma ex5 : ∃ x y z : nat, x = y + z :=
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exists.intro 1 (exists.intro 1 (exists.intro 0 rfl))
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lemma ex6 : ∃ x : nat, x = x :=
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⟨0, rfl⟩
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lemma ex7 : ∃ x y z : nat, x = y + z :=
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⟨1, 1, 0, rfl⟩
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lemma ex8 : ∃ x y z : nat, x = y + z :=
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(| 1, 1, 0, rfl |)
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example : ∃ x : nat, x = x :=
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⟨0, rfl⟩
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example : ∃ x y z : nat, x = y + z :=
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⟨1, 1, 0, rfl⟩
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