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Mirrors > Home > MPE Home > Th. List > equtrr | Structured version Visualization version Unicode version |
Description: A transitive law for equality. Lemma L17 in [Megill] p. 446 (p. 14 of the preprint). (Contributed by NM, 23-Aug-1993.) |
Ref | Expression |
---|---|
equtrr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equtr 1948 | . 2 | |
2 | 1 | com12 32 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 |
This theorem is referenced by: equeuclr 1950 equequ2 1953 equtr2OLD 1956 equvinv 1959 equvinivOLD 1961 equvinvOLD 1962 equvelv 1963 ax12v2 2049 ax12vOLD 2050 2ax6elem 2449 wl-spae 33306 wl-ax8clv2 33381 ax12eq 34226 sbeqalbi 38601 ax6e2eq 38773 ax6e2eqVD 39143 |
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