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Mirrors > Home > MPE Home > Th. List > nfabd | Structured version Visualization version Unicode version |
Description: Bound-variable hypothesis builder for a class abstraction. (Contributed by Mario Carneiro, 8-Oct-2016.) |
Ref | Expression |
---|---|
nfabd.1 |
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nfabd.2 |
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Ref | Expression |
---|---|
nfabd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfabd.1 |
. 2
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2 | nfabd.2 |
. . 3
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3 | 2 | adantr 471 |
. 2
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4 | 1, 3 | nfabd2 2622 |
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-11 1931 ax-12 1944 ax-13 2102 ax-ext 2442 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1675 df-nf 1679 df-sb 1809 df-clab 2449 df-cleq 2455 df-clel 2458 df-nfc 2592 |
This theorem is referenced by: nfsbcd 3300 nfcsb1d 3389 nfcsbd 3392 nfifd 3921 nfunid 4219 nfiotad 5568 |
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