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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 743. (Contributed by Jim Kingdon, 14-Mar-2020.) |
Ref | Expression |
---|---|
dcne | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dc 743 | . 2 DECID | |
2 | df-ne 2206 | . . 3 | |
3 | 2 | orbi2i 679 | . 2 |
4 | 1, 3 | bitr4i 176 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wb 98 wo 629 DECID wdc 742 wceq 1243 wne 2204 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 |
This theorem depends on definitions: df-bi 110 df-dc 743 df-ne 2206 |
This theorem is referenced by: zdceq 8316 nn0lt2 8322 qdceq 9102 nn0seqcvgd 9880 |
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