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Mirrors > Home > MPE Home > Th. List > 19.32 | Unicode version |
Description: Theorem 19.32 of [Margaris] p. 90. See 19.32v 1730 for a version requiring fewer axioms. (Contributed by NM, 14-May-1993.) (Revised by Mario Carneiro, 24-Sep-2016.) |
Ref | Expression |
---|---|
19.32.1 |
Ref | Expression |
---|---|
19.32 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.32.1 | . . . 4 | |
2 | 1 | nfn 1901 | . . 3 |
3 | 2 | 19.21 1905 | . 2 |
4 | df-or 370 | . . 3 | |
5 | 4 | albii 1640 | . 2 |
6 | df-or 370 | . 2 | |
7 | 3, 5, 6 | 3bitr4i 277 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4
<-> wb 184 \/ wo 368 A. wal 1393
F/ wnf 1616 |
This theorem is referenced by: 19.31 1968 2eu3 2379 axi12 2433 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704 ax-6 1747 ax-7 1790 ax-10 1837 ax-12 1854 |
This theorem depends on definitions: df-bi 185 df-or 370 df-ex 1613 df-nf 1617 |
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