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Sep 28, 2022 at 13:57 comment added Maxime Ramzi I've added a "constuction" in the general case. Basically from a witness of $[R] = 0$ you can construct $R$ from $R\oplus\Sigma R$.
Sep 28, 2022 at 13:56 history edited Maxime Ramzi CC BY-SA 4.0
added 862 characters in body
Sep 22, 2022 at 15:20 comment added Tim Campion Thanks -- this is great, especially as it addresses the broader context. If I could accept an additional answer I definitely would!
Sep 22, 2022 at 15:15 history answered Maxime Ramzi CC BY-SA 4.0