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Mirrors > Home > ILE Home > Th. List > equequ1 | Unicode version |
Description: An equivalence law for equality. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
equequ1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-8 1467 | . 2 | |
2 | equtr 1670 | . 2 | |
3 | 1, 2 | impbid 128 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 |
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-gen 1410 ax-ie2 1455 ax-8 1467 ax-17 1491 ax-i9 1495 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: equveli 1717 drsb1 1755 equsb3lem 1901 euequ1 2072 axext3 2100 reu6 2846 reu7 2852 disjiun 3894 cbviota 5063 dff13f 5639 poxp 6097 dcdifsnid 6368 supmoti 6848 isoti 6862 fsum2dlemstep 11171 ennnfonelemr 11863 ctinf 11870 |
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