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Relation.Binary.Bundles.Preorder declares the 'wrong' symbol for the ordering relation!!! #2096

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@jamesmckinna

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@jamesmckinna

Preorders are rarely Symmetric, unless they arise already from instances of Setoid/IsEquivalence.

So... why in the name of all that is holy do we declare them with a field name _∼_ which is (notationally/syntactically/formally) symmetric.

Consequences:

Refactoring PROPOSAL: that we rename (and appropriately deprecate, groan) the infix symbol/definition _∼_ to be _≲_, which becomes _≤_ in Poset, etc... and whose Relation.Binary.Properties.Preorder.InducedEquivalence be given by @laMudri 's Relation.Binary.Construct.Interior.Symmetric from #2071 applied to _≲_...

Just sayin'.

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