lean2/tests/lean/run/intros.lean

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Text

import logic
open tactic
theorem tst1 (a b : Prop) : a → b → b :=
by intro Ha; intro Hb; apply Hb
theorem tst2 (a b : Prop) : a → b → a ∧ b :=
by intro Ha; intro Hb; rapply and.intro; apply Hb; apply Ha
theorem tst3 (a b : Prop) : a → b → a ∧ b :=
begin
intro Ha,
intro Hb,
apply and.intro,
apply Ha,
apply Hb,
end
theorem tst4 (a b : Prop) : a → b → a ∧ b :=
begin
intros (Ha, Hb),
rapply and.intro,
apply Hb,
apply Ha
end
theorem tst5 (a b : Prop) : a → b → a ∧ b :=
begin
intros,
apply and.intro,
eassumption,
eassumption
end