lean4-htt/tests/lean/2178.lean
2024-09-10 19:30:09 +10:00

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class AddZeroClass (M : Type u) extends Zero M, Add M
class AddMonoid (M : Type u) extends AddZeroClass M where
nsmul : Nat → M → M := fun _ _ => Zero.zero
class AddCommMonoid (M : Type u) extends Zero M, AddMonoid M
class AddMonoidWithOne (R : Type u) extends AddMonoid R
class AddCommMonoidWithOne (R : Type u) extends AddMonoidWithOne R, AddCommMonoid R
class NonAssocSemiring (α : Type u) extends Zero α, AddCommMonoidWithOne α
class Semiring (α : Type u) extends Zero α, NonAssocSemiring α