Metamath Proof Explorer


Theorem infex

Description: An infimum is a set. (Contributed by AV, 3-Sep-2020)

Ref Expression
Hypothesis infex.1 R Or A
Assertion infex inf B A R V

Proof

Step Hyp Ref Expression
1 infex.1 R Or A
2 id R Or A R Or A
3 2 infexd R Or A inf B A R V
4 1 3 ax-mp inf B A R V