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The Manual says:
We say that an index is valid if it lies between 1 and the stack top
(that is, if 1 ? abs(index) ? top).

void lua_setfield (lua_State *L, int index, const char *k);

Does the equivalent to t[k] = v, where t is the value at the given
valid index index and v is the value at the top of the stack,

It follows from (1) and (2) that

    lua_setfield(L, LUA_REGISTRYINDEX, "some field")

is incorrect, because LUA_REGISTRYINDEX is not a valid index.

Is it so, or the Manual should be corrected?