Mathbox for Jarvin Udandy |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > axorbtnotaiffb | Structured version Visualization version Unicode version |
Description: Given a is exclusive to b, there exists a proof for (not (a if-and-only-if b)); df-xor 1465 is a closed form of this. (Contributed by Jarvin Udandy, 7-Sep-2016.) |
Ref | Expression |
---|---|
axorbtnotaiffb.1 |
Ref | Expression |
---|---|
axorbtnotaiffb |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axorbtnotaiffb.1 | . 2 | |
2 | df-xor 1465 | . 2 | |
3 | 1, 2 | mpbi 220 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wb 196 wxo 1464 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-xor 1465 |
This theorem is referenced by: axorbciffatcxorb 41072 aifftbifffaibifff 41089 |
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