Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > necon4abiddc | Unicode version |
Description: Contrapositive law deduction for inequality. (Contributed by Jim Kingdon, 18-May-2018.) |
Ref | Expression |
---|---|
necon4abiddc.1 | DECID DECID |
Ref | Expression |
---|---|
necon4abiddc | DECID DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | necon4abiddc.1 | . . 3 DECID DECID | |
2 | df-ne 2335 | . . . 4 | |
3 | 2 | bibi1i 227 | . . 3 |
4 | 1, 3 | syl8ib 165 | . 2 DECID DECID |
5 | 4 | con4biddc 847 | 1 DECID DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 DECID wdc 824 wceq 1342 wne 2334 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 604 ax-in2 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 df-stab 821 df-dc 825 df-ne 2335 |
This theorem is referenced by: necon4bbiddc 2408 necon4biddc 2409 |
Copyright terms: Public domain | W3C validator |