Coq.Reals.Rdefinitions

# Module Coq.Reals.Rdefinitions

``

Definitions for the axiomatization

`
`Require` `Export` ZArith.
`Require` `Export` TypeSyntax.

`Parameter` R:Type.
`Parameter` R0:R.
`Parameter` R1:R.
`Parameter` Rplus:R->R->R.
`Parameter` Rmult:R->R->R.
`Parameter` Ropp:R->R.
`Parameter` Rinv:R->R.
`Parameter` Rlt:R->R->Prop.
`Parameter` up:R->Z.

`Definition` Rgt:R->R->Prop:=[r1,r2:R](Rlt r2 r1).

`Definition` Rle:R->R->Prop:=[r1,r2:R]((Rlt r1 r2)\/(r1==r2)).

`Definition` Rge:R->R->Prop:=[r1,r2:R]((Rgt r1 r2)\/(r1==r2)).

`Definition` Rminus:R->R->R:=[r1,r2:R](Rplus r1 (Ropp r2)).

`Definition` Rdiv:R->R->R:=[r1,r2:R](Rmult r1 (Rinv r2)).

`

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