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While trying to polish off #2098 I've run into the issue that the structure IsStrictTotalOrder doesn't inherit directly from IsStrictPartialOrder. Instead it has flattened fields that try to avoid having to have the user re-prove irreflexivity.
This has various irritating effects including multiple non-identical copies of certain proofs such as isStrictPartialOrder in StrictTotalOrder bundle.
We did have exactly the same problem with lattices in #1108, which we fixed by adding biased versions of the records that replicated the old structure. We should take advantage of v2.0 and implement the same solution for IsStrictTotalOrder