Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > ordfr | Structured version Visualization version Unicode version |
Description: Epsilon is well-founded on an ordinal class. (Contributed by NM, 22-Apr-1994.) |
Ref | Expression |
---|---|
ordfr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ordwe 5736 | . 2 | |
2 | wefr 5104 | . 2 | |
3 | 1, 2 | syl 17 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 cep 5028 wfr 5070 wwe 5072 word 5722 |
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-we 5075 df-ord 5726 |
This theorem is referenced by: ordirr 5741 tz7.7 5749 onfr 5763 bnj580 30983 bnj1053 31044 bnj1071 31045 |
Copyright terms: Public domain | W3C validator |