Downstream GFCI protection vs NEC code requirements
GFCI protection extends to circuits; including any devices, that are connected to the LOAD side terminals of a GFCI device. This means that if the wires feeding the circuit beyond the GFCI are connected to the LOAD terminals of the GFCI, then the downstream circuit is GFCI protected.

A simple test is to plug something into the receptacle that you need protected, then press the TEST button on the upstream GFCI device.  If the plugged in item turns off, then the receptacle that it's attached to is GFCI protected. When you press the TEST button on a GFCI device, anything that is protected by that device will lose power (unless of course the GFCI device has malfunctioned).