lean2/tests/lean/run/have6.lean

18 lines
640 B
Text
Raw Normal View History

abbreviation Bool : Type.{1} := Type.{0}
variable and : Bool → Bool → Bool
infixl `∧`:25 := and
variable and_intro : forall (a b : Bool), a → b → a ∧ b
variables a b c d : Bool
axiom Ha : a
axiom Hb : b
axiom Hc : c
check
have a ∧ b, from and_intro a b Ha Hb,
have [fact] b ∧ a, from and_intro b a Hb Ha,
have H : a ∧ b, from and_intro a b Ha Hb,
have H [fact] : a ∧ b, from and_intro a b Ha Hb,
then have a ∧ b, from and_intro a b Ha Hb,
then have [fact] b ∧ a, from and_intro b a Hb Ha,
then have H : a ∧ b, from and_intro a b Ha Hb,
then have H [fact] : a ∧ b, from and_intro a b Ha Hb,
Ha