lean4-htt/tests/lean/generalize1.lean
2016-07-16 15:41:32 -04:00

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Text

open tactic
add_key_equivalence add nat.succ
set_option pp.binder_types true
example (a b c : nat) : a + 1 = b + 1 → b + 1 = a + 1 :=
by do
a ← get_local "a", b ← get_local "b",
e₁ ← mk_app ("nat" <.> "succ") [a],
e₂ ← mk_app ("nat" <.> "succ") [b],
generalize e₁ "x",
generalize e₂ "y",
trace_state,
intros, symmetry, assumption