Mathbox for Glauco Siliprandi |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > frnd | Structured version Visualization version Unicode version |
Description: The range of a mapping. (Contributed by Glauco Siliprandi, 26-Jun-2021.) |
Ref | Expression |
---|---|
frnd.1 |
Ref | Expression |
---|---|
frnd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | frnd.1 | . 2 | |
2 | frn 6053 | . 2 | |
3 | 1, 2 | syl 17 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wss 3574 crn 5115 wf 5884 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-an 386 df-f 5892 |
This theorem is referenced by: climinf2lem 39938 limsupvaluz2 39970 supcnvlimsup 39972 limsupgtlem 40009 preimaioomnf 40929 smfco 41009 |
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