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Mirrors > Home > ILE Home > Th. List > smodm | Unicode version |
Description: The domain of a strictly monotone function is an ordinal. (Contributed by Andrew Salmon, 16-Nov-2011.) |
Ref | Expression |
---|---|
smodm |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-smo 5901 | . 2 | |
2 | 1 | simp2bi 920 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1393 wral 2306 word 4099 con0 4100 cdm 4345 wf 4898 cfv 4902 wsmo 5900 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-smo 5901 |
This theorem is referenced by: smores2 5909 smodm2 5910 smoel 5915 |
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