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[Merged by Bors] - feat(order/prime_ideal): prime ideals are maximal #9004
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Co-authored-by: Bryan Gin-ge Chen <bryangingechen@gmail.com>
Co-authored-by: Bryan Gin-ge Chen <bryangingechen@gmail.com>
Co-authored-by: Bryan Gin-ge Chen <bryangingechen@gmail.com>
- Added is_proper.not_mem_of_compl_mem - Added is_proper.not_mem_or_compl_not_mem
- Changed signature of is_prime_of_mem_or_compl_mem
…mmunity/mathlib into primes-in-boolean-algebras
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Co-authored-by: Johan Commelin <johan@commelin.net>
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Proved that in boolean algebras: 1. An ideal is prime iff it always contains one of x, x^c 2. A prime ideal is maximal
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Proved that in boolean algebras: 1. An ideal is prime iff it always contains one of x, x^c 2. A prime ideal is maximal
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Proved that in boolean algebras: 1. An ideal is prime iff it always contains one of x, x^c 2. A prime ideal is maximal
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Proved that in boolean algebras: