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Mirrors > Home > ILE Home > Th. List > nf3and | Unicode version |
Description: Deduction form of bound-variable hypothesis builder nf3an 1498. (Contributed by NM, 17-Feb-2013.) (Revised by Mario Carneiro, 16-Oct-2016.) |
Ref | Expression |
---|---|
nfand.1 | |
nfand.2 | |
nfand.3 |
Ref | Expression |
---|---|
nf3and |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3an 921 | . 2 | |
2 | nfand.1 | . . . 4 | |
3 | nfand.2 | . . . 4 | |
4 | 2, 3 | nfand 1500 | . . 3 |
5 | nfand.3 | . . 3 | |
6 | 4, 5 | nfand 1500 | . 2 |
7 | 1, 6 | nfxfrd 1404 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 w3a 919 wnf 1389 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-nf 1390 |
This theorem is referenced by: (None) |
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