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Mirrors > Home > MPE Home > Th. List > neeqtri | Structured version Visualization version Unicode version |
Description: Substitution of equal classes into an inequality. (Contributed by NM, 4-Jul-2012.) |
Ref | Expression |
---|---|
neeqtr.1 | |
neeqtr.2 |
Ref | Expression |
---|---|
neeqtri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | neeqtr.1 | . 2 | |
2 | neeqtr.2 | . . 3 | |
3 | 2 | neeq2i 2859 | . 2 |
4 | 1, 3 | mpbi 220 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wceq 1483 wne 2794 |
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 ax-9 1999 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-cleq 2615 df-ne 2795 |
This theorem is referenced by: neeqtrri 2867 |
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