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Mirrors > Home > MPE Home > Th. List > eqnetrri | Structured version Visualization version Unicode version |
Description: Substitution of equal classes into an inequality. (Contributed by NM, 4-Jul-2012.) |
Ref | Expression |
---|---|
eqnetrr.1 |
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eqnetrr.2 |
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Ref | Expression |
---|---|
eqnetrri |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqnetrr.1 |
. . 3
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2 | 1 | eqcomi 2459 |
. 2
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3 | eqnetrr.2 |
. 2
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4 | 2, 3 | eqnetri 2693 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1668 ax-4 1681 ax-ext 2430 |
This theorem depends on definitions: df-bi 189 df-cleq 2443 df-ne 2623 |
This theorem is referenced by: ballotlemii 29329 ballotlemiiOLD 29367 bj-2upln1upl 31611 wallispilem4 37924 |
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