lean4-htt/tests/lean/run/apply4.lean
Leonardo de Moura 90bfd84a07 feat(frontends/lean): Type is now (Type 1)
In the standard library, we should use explicit universe variables for
universe polymorphic definitions.

Users that want to declare universe polymorphic definitions but do not
want to provide universe level parameters should use
  Type _
or
  Type*
2016-09-17 14:30:54 -07:00

42 lines
829 B
Text
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

open tactic bool
universe variables u
constant foo {A : Type u} [inhabited A] (a b : A) : a = default A → a = b
example (a b : nat) : a = 0 → a = b :=
by do
intro `H,
apply (expr.const `foo [level.of_nat 1]),
trace_state,
assumption
definition ex : inhabited (nat × nat × bool) :=
by apply_instance
set_option pp.all true
print ex
set_option pp.all false
example (a b : nat) : a = 0 → a = b :=
by do
intro `H,
apply_core semireducible tt ff (expr.const `foo [level.of_nat 1]),
trace_state,
a ← get_local `a,
trace_state,
mk_app `inhabited.mk [a] >>= exact,
trace "--------",
trace_state,
reflexivity
print "----------------"
set_option pp.all true
example (a b : nat) : a = 0 → a = b :=
by do
intro `H,
foo ← mk_const `foo,
trace foo,
apply foo,
trace_state,
assumption