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Mirrors > Home > MPE Home > Th. List > Mathboxes > equcomi1 | Structured version Visualization version Unicode version |
Description: Proof of equcomi 1944 from equid1 34184, avoiding use of ax-5 1839 (the only use of ax-5 1839 is via ax7 1943, so using ax-7 1935 instead would remove dependency on ax-5 1839). (Contributed by BJ, 8-Jul-2021.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
equcomi1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equid1 34184 | . 2 | |
2 | ax7 1943 | . 2 | |
3 | 1, 2 | mpi 20 | 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 ax-c5 34168 ax-c4 34169 ax-c7 34170 ax-c10 34171 ax-c9 34175 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 |
This theorem is referenced by: aecom-o 34186 |
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