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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj1519 | Structured version Visualization version Unicode version |
Description: Technical lemma for bnj1500 31136. This lemma may no longer be used or have become an indirect lemma of the theorem in question (i.e. a lemma of a lemma... of the theorem). (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bnj1519.1 | |
bnj1519.2 | |
bnj1519.3 | |
bnj1519.4 |
Ref | Expression |
---|---|
bnj1519 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj1519.4 | . . . . 5 | |
2 | bnj1519.3 | . . . . . . 7 | |
3 | nfre1 3005 | . . . . . . . 8 | |
4 | 3 | nfab 2769 | . . . . . . 7 |
5 | 2, 4 | nfcxfr 2762 | . . . . . 6 |
6 | 5 | nfuni 4442 | . . . . 5 |
7 | 1, 6 | nfcxfr 2762 | . . . 4 |
8 | nfcv 2764 | . . . 4 | |
9 | 7, 8 | nffv 6198 | . . 3 |
10 | nfcv 2764 | . . . 4 | |
11 | nfcv 2764 | . . . . . 6 | |
12 | 7, 11 | nfres 5398 | . . . . 5 |
13 | 8, 12 | nfop 4418 | . . . 4 |
14 | 10, 13 | nffv 6198 | . . 3 |
15 | 9, 14 | nfeq 2776 | . 2 |
16 | 15 | nf5ri 2065 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wal 1481 wceq 1483 cab 2608 wral 2912 wrex 2913 wss 3574 cop 4183 cuni 4436 cres 5116 wfn 5883 cfv 5888 c-bnj14 30754 |
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-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ral 2917 df-rex 2918 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-uni 4437 df-br 4654 df-opab 4713 df-xp 5120 df-res 5126 df-iota 5851 df-fv 5896 |
This theorem is referenced by: bnj1501 31135 |
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