InEquality is introduced as an independant parameter, it could be instantiated with the negation of equality |
Require
Export
EqParams.
Require
Export
NeqParams.
Axiom
eq_not_neq : (x,y:N)x=y->~(x<>y).
Hints
Immediate
eq_not_neq : num.
Axiom
neq_sym : (x,y:N)(x<>y)->(y<>x).
Hints
Resolve neq_sym : num.
Axiom
neq_not_neq_trans : (x,y,z:N)(x<>y)->~(y<>z)->(x<>z).
Hints
Resolve neq_not_neq_trans : num.