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Mirrors > Home > ILE Home > Th. List > equcomi | Unicode version |
Description: Commutative law for equality. Lemma 7 of [Tarski] p. 69. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
equcomi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equid 1589 | . 2 | |
2 | ax-8 1395 | . 2 | |
3 | 1, 2 | mpi 15 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-gen 1338 ax-ie2 1383 ax-8 1395 ax-17 1419 ax-i9 1423 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: equcom 1593 equcoms 1594 ax10 1605 cbv2h 1634 equvini 1641 equveli 1642 equsb2 1669 drex1 1679 sbcof2 1691 aev 1693 cbvexdh 1801 rext 3951 iotaval 4878 |
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