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Mirrors > Home > MPE Home > Th. List > equtr | Unicode version |
Description: A transitive law for equality. (Contributed by NM, 23-Aug-1993.) |
Ref | Expression |
---|---|
equtr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-7 1790 | . 2 | |
2 | 1 | equcoms 1795 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 |
This theorem is referenced by: equtrr 1797 equequ1 1798 equviniv 1803 equvin 1804 ax6e 2002 equvini 2087 equvinOLD 2090 sbequi 2116 axsep 4572 bj-axsep 34379 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704 ax-6 1747 ax-7 1790 |
This theorem depends on definitions: df-bi 185 df-ex 1613 |
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