Description: Obsolete version of isanmbfm as of 13-Jan-2025. (Contributed by Thierry Arnoux, 30-Jan-2017) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | mbfmf.1 | |- ( ph -> S e. U. ran sigAlgebra ) |
|
mbfmf.2 | |- ( ph -> T e. U. ran sigAlgebra ) |
||
mbfmf.3 | |- ( ph -> F e. ( S MblFnM T ) ) |
||
Assertion | isanmbfmOLD | |- ( ph -> F e. U. ran MblFnM ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mbfmf.1 | |- ( ph -> S e. U. ran sigAlgebra ) |
|
2 | mbfmf.2 | |- ( ph -> T e. U. ran sigAlgebra ) |
|
3 | mbfmf.3 | |- ( ph -> F e. ( S MblFnM T ) ) |
|
4 | ovssunirn | |- ( S MblFnM T ) C_ U. ran MblFnM |
|
5 | 4 3 | sselid | |- ( ph -> F e. U. ran MblFnM ) |