Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > rnlem | Unicode version |
Description: Lemma used in construction of real numbers. (Contributed by NM, 4-Sep-1995.) (Proof shortened by Andrew Salmon, 26-Jun-2011.) |
Ref | Expression |
---|---|
rnlem |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | an4 520 | . . . 4 | |
2 | 1 | biimpi 113 | . . 3 |
3 | an42 521 | . . . 4 | |
4 | 3 | biimpri 124 | . . 3 |
5 | 2, 4 | jca 290 | . 2 |
6 | 3 | biimpi 113 | . . 3 |
7 | 6 | adantl 262 | . 2 |
8 | 5, 7 | impbii 117 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |