Proof of public-key encryption

Let us assume three entities: $A, B,$ and $C$, and let $[p_C, P_c]$ the private/public key pair of $C$. Assume that $A$ encrypts a message $m$ using the public key of $C$, $P_C$, and sends this encrypted message $c$ to $B$.

My question is: can $B$ somehow discriminate that the encrypted message $c$ is the result of the public-key encryption of a value with the public key $P_c$? (public keys are public, so known to everybody).

can B somehow discriminate that the encrypted message m is the result of the public-key encryption of a value with the public key P_c?

It depends on the public key algorithm. With RSA, for example, the encrypted session key value (which is public) is always less than the value of the RSA encryption modulus (which is also public) used to encrypt it.

If it is the case that key C's public RSA modulus is greater than keys A and B's, then a session key encrypted by key C could also be greater than A and B's public modulus. In such a case it would be known neither key A nor key B could have produced it.

No, it's not possible to B to know anything about the message itself, unless it contains metadata. The message itself is just a opaque block of binary data. It's possible to infer the algorithm used for encrypting, but not much more than that.

If the message have metadata describing it, things change. But they change only because there's a field somewhere saying "Encrypted by A using C public key", not because any intrinsic property of the message.