Can one Kaspa chain membership proof cover multiple transactions?

Yes — in Kaspa, a single proof of chain membership can be shared across many transactions, as long as those transactions were accepted in chain blocks that share the same posterity block. A posterity block is the block that definitively finalizes a set of earlier blocks; transactions confirmed under the same posterity block can reuse one combined proof instead of each needing its own separate proof. This aggregation property means that wallets, exchanges, or payment processors verifying many Kaspa transactions at once can batch them under a single proof structure rather than downloading and checking one giant proof per transaction. For users, this reduces the bandwidth and time cost of confirming that a payment was genuinely settled on the Kaspa network.