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Mirrors > Home > MPE Home > Th. List > Mathboxes > elv | Structured version Visualization version Unicode version |
Description: New way (elv 33983, el2v 33984 theorems and el3v 33987 theorems) to shorten some proofs. Inference forms (with hypotheses) of the general theorems (proving ) may be superfluous. (Contributed by Peter Mazsa, 13-Oct-2018.) |
Ref | Expression |
---|---|
elv.1 |
Ref | Expression |
---|---|
elv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vex 3203 | . 2 | |
2 | elv.1 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wcel 1990 cvv 3200 |
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-12 2047 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-an 386 df-tru 1486 df-ex 1705 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-v 3202 |
This theorem is referenced by: eldmres 34036 ecres 34043 ecres2 34044 eldmqsres 34051 inxprnres 34060 cnvepres 34066 idinxpss 34083 inxpssidinxp 34086 idinxpssinxp 34087 alrmomo 34123 alrmomo2 34124 |
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