26 lines
631 B
Text
26 lines
631 B
Text
new_frontend
|
|
|
|
set_option trace.Meta.Tactic.subst true
|
|
|
|
theorem tst1 (x y z : Nat) : y = z → x = x → x = y → x = z := by
|
|
intros h1 h2 h3
|
|
subst x
|
|
assumption
|
|
|
|
|
|
theorem tst2 (x y z : Nat) : y = z → x = z + y → x = z + z := by
|
|
intros h1 h2
|
|
subst h1
|
|
subst h2
|
|
exact rfl
|
|
|
|
def BV (n : Nat) : Type := Unit
|
|
|
|
theorem tst3 (n m : Nat) (v : BV n) (w : BV m) (h1 : n = m) (h2 : forall (v1 v2 : BV n), v1 = v2) : v = cast (congrArg BV h1) w := by
|
|
subst h1
|
|
apply h2
|
|
|
|
|
|
theorem tst4 (n m : Nat) (v : BV n) (w : BV m) (h1 : n = m) (h2 : forall (v1 v2 : BV n), v1 = v2) : v = cast (congrArg BV h1.symm) w := by
|
|
subst n
|
|
apply h2
|