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Mirrors > Home > MPE Home > Th. List > drnf1 | Structured version Visualization version Unicode version |
Description: Formula-building lemma for use with the Distinctor Reduction Theorem. (Contributed by Mario Carneiro, 4-Oct-2016.) |
Ref | Expression |
---|---|
dral1.1 |
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Ref | Expression |
---|---|
drnf1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dral1.1 |
. . . 4
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2 | 1 | dral1 2170 |
. . . 4
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3 | 1, 2 | imbi12d 326 |
. . 3
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4 | 3 | dral1 2170 |
. 2
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5 | df-nf 1679 |
. 2
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6 | df-nf 1679 |
. 2
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7 | 4, 5, 6 | 3bitr4g 296 |
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 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-12 1944 ax-13 2102 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1675 df-nf 1679 |
This theorem is referenced by: nfald2 2176 drnfc1 2620 wl-nfs1t 31916 |
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