Section 4; Section 11
The actual "strength" of the blockchain is the chain of difficulty targets stored in blocks since the time of the block one would attempt to replace. The SHA256 hashes of blocks are all below the target; finding such a hash is computationally expensive. By definition, other miners would reject a sequence of blocks where the difficulty target is not as expected for the difficulty period of 2016 blocks or the block hashes did not meet the difficulty.
In the actual block, "bits" is a compact form of of the target.
"hash":"000000000000026e70652663fd4a5e3a1c38cfdf0c1b2666308c3816d9c21321",
"ver":2,
"prev_block":"00000000000000e788455adcba11a49a452acd5298e3a26d2db4cb9fcc050d1a",
"mrkl_root":"b5484c1dd069b73063ea5cc594826b1541a8d5fd069629e9e950bb304789670b",
"time":1358682853,
"bits":436545969,