Coq.Num.NeqAxioms

# Module Coq.Num.NeqAxioms

``

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.

`

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