My iphone does not have a Wi-Fi symbol even though it is connected to Wi-Fi?

I know it is connected to Wi-Fi because if i turn off cellular data it still goes on the internet, but the Wi-Fi "symbol" isn't there. Also, sometimes it says LTE or 4G when I know it's connected to Wi-Fi. Does anyone know why?

Have you ever check the IP address under settings, network? To be completely sure that you are connected to Wi-Fi, you must go to network under setting, and tap the blue arrow to the right where it is supposedly connected. Here you can see the network info and the gateway, IP address, etc…
If it don't show a DNS, then you are not connected and that is why it still shows the data symbol. (3g, edge, LTE)

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