lean2/tests/lean/run/blast_ematch3.lean

36 lines
633 B
Text
Raw Normal View History

import algebra.ring data.nat
namespace foo
variables {A : Type}
section
variables [s : add_comm_monoid A]
include s
attribute add.comm [forward]
attribute add.assoc [forward]
set_option blast.strategy "ematch"
theorem add_comm_three (a b c : A) : a + b + c = c + b + a :=
by blast
theorem add.comm4 : ∀ (n m k l : A), n + m + (k + l) = n + k + (m + l) :=
by blast
end
section
variable [s : group A]
include s
attribute mul.assoc [forward]
attribute mul.left_inv [forward]
attribute one_mul [forward]
set_option blast.strategy "ematch"
theorem inv_mul_cancel_left (a b : A) : a⁻¹ * (a * b) = b :=
by blast
end
end foo