Metamath Proof Explorer


Theorem acsmred

Description: An algebraic closure system is also a Moore system. Deduction form of acsmre . (Contributed by David Moews, 1-May-2017)

Ref Expression
Hypothesis acsmred.1 φAACSX
Assertion acsmred φAMooreX

Proof

Step Hyp Ref Expression
1 acsmred.1 φAACSX
2 acsmre AACSXAMooreX
3 1 2 syl φAMooreX