- Explicitely applied predicate1I in a few proofs, because it is no longer
part of the claset
- Explicitely passed pred_subset_eq and pred_equals_eq as an argument to the
to_set attribute, because it is no longer applied automatically
BoolNat = Arith +
types bool,nat 0
arities bool,nat :: arith
consts Suc :: "nat=>nat"
rules add0 "0 + n = n::nat"
addS "Suc(m)+n = Suc(m+n)"
nat1 "1 = Suc(0)"
or0l "0 + x = x::bool"
or0r "x + 0 = x::bool"
or1l "1 + x = 1::bool"
or1r "x + 1 = 1::bool"
end