lean4-htt/old_tests/tests/lean/run/contra2.lean
2018-04-10 12:56:55 -07:00

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open nat tactic
example (q p : Prop) (h₁ : p) (h₂ : ¬ p) : q :=
by contradiction
example (q p : Prop) (h₁ : p) (h₂ : p → false) : q :=
by do intros, contradiction
example (q : Prop) (a b : nat) (h₁ : a + b = 0) (h₂ : ¬ a + b = 0) : q :=
by do intros, contradiction
example (q : Prop) (a b : nat) (h₁ : a + b = 0) (h₂ : a + b ≠ 0) : q :=
by do intros, contradiction
example (q : Prop) (a b : nat) (h₁ : a + b = 0) (h₂ : a + b = 0 → false) : q :=
by contradiction