(refl): x1
(refl): @add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1
(refl): @add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1)
  x1
(refl): @add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s))
  (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s))
     (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1)
     x1)
  x1
(refl): @add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s))
  (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s))
     (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1)
     (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1))
  x1
@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1
  (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1)
@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1
  (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1
     (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1))
@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1
  (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1
     (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1
        (@add.{l} T (@has_add.mk.{l} T (@comm_ring.add.{l} T s)) x1 x1)))