peerCertificate property
X509Certificate peerCertificateGet the peer certificate for a connected SecureSocket. If this SecureSocket is the server end of a secure socket connection, peerCertificate will return the client certificate, or null, if no client certificate was received. If it is the client end, peerCertificate will return the server's certificate.
Source
X509Certificate get peerCertificate;
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https://api.dartlang.org/stable/1.24.3/dart-io/SecureSocket/peerCertificate.html