Object spread drops index signature

TypeScript Version: 3.0.1

Search Terms:
spread index signature, spread indexer

Code

declare var v: Record<string, string>;

let v2 = {...v}; // works
let v3 = {a: '', ...v}; // index signature lost
let v4 = {...v, a: ''}; // same as above
let v5 = {a: 1, ...v}; // index signature lost, should be '{a: number, [x: string]: number | string}'
let v6 = {[Number()]: 1, ...v}; // empty object type ò,Ó, should be '{[x: string]: number | string}'

Expected behavior:
Index signature exists on all object types.

Actual behavior:
Index signature is lost if object literal contains another property assignment. I'm not entirely sure what the type of v6 should be.

Playground Link: https://agentcooper.github.io/typescript-play/#code/CYUwxgNghgTiAEA3WSBc8BK4D2NgB4BnAFxgEsA7AcwBp4TzqA+AbgCg2IRikAmeALzwA3gDpxiAL4t4AelnwA7rgDWhTtyQBmQSKjoA5AbrjRUmfPiVQAD3pkqFKMQCuceBGwkNPRABZdMQk6fXgjaTkFQigAWwQoQngoACNsRBAfJABWQNCARhMJCMtrEDtCBydXd08SOkIAC2wXCGB4ZIQDYVCKFxiOmDoAbRt0BkoqAF10Xv6QGHgAH3pSCckDTMQANkChgDk+gYAKAEpp+AL4U3NI+BAYgAdiAE94bGSAK3AeF4eEACeaABl+pNFptDphYQjMarajnWYDJYrRhUdZAA

Related Issues:
#16694
#16373

Start with the TypeScript 3.0.1 examples in the issue and reproduce the inferred types through the linked Playground. Review related issues #16694 and #16373 for prior discussion and expected behavior, especially for v5 and v6. Done means establishing and implementing consistent index-signature behavior for the reported object-spread cases, with coverage for the examples.