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Mirrors > Home > ILE Home > Th. List > dcne | Unicode version |
Description: Decidable equality expressed in terms of . Basically the same as df-dc 820. (Contributed by Jim Kingdon, 14-Mar-2020.) |
Ref | Expression |
---|---|
dcne | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dc 820 | . 2 DECID | |
2 | df-ne 2309 | . . 3 | |
3 | 2 | orbi2i 751 | . 2 |
4 | 1, 3 | bitr4i 186 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 104 wo 697 DECID wdc 819 wceq 1331 wne 2308 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 698 |
This theorem depends on definitions: df-bi 116 df-dc 820 df-ne 2309 |
This theorem is referenced by: updjudhf 6964 zdceq 9126 nn0lt2 9132 xlesubadd 9666 qdceq 10024 xrmaxadd 11030 nn0seqcvgd 11722 |
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