MIFARE and ISO/IEC 14443 Type A are not the same. While MIFARE is often viewed as an extension to or subset of ISO/IEC 14443 Type A, it is a proprietary encryption/conditional access protocol owned and licensed by Philips Semiconductors to multiple vendors of card ICs and reader ICs.
Because MIFARE has been so predominantly used with products employing ISO/IEC 14443 Type A technology, it has mistakenly become synonymous with the standard. However, ISO/IEC 14443 Type A is a completely open standard when used independently of the MIFARE encryption/conditional access scheme.