lean4-htt/tests/lean/run/contra3.lean
2016-07-29 13:03:23 -07:00

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open tactic nat
example (a b c : Prop) : a → b → ¬ a → c :=
by do intros, contradiction
example (a b c : Prop) : a → false → b → c :=
by do intros, contradiction
example (a b : nat) : succ a = zero → b = 0 :=
by do intro `H, contradiction
example (a b : nat) : succ a = succ b → succ a = zero → b = 0 :=
by do intros, contradiction