Mathbox for Jarvin Udandy |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > notatnand | Structured version Visualization version GIF version |
Description: Do not use. Use intnanr instead. Given not a, there exists a proof for not (a and b). (Contributed by Jarvin Udandy, 31-Aug-2016.) |
Ref | Expression |
---|---|
notatnand.1 | ⊢ ¬ 𝜑 |
Ref | Expression |
---|---|
notatnand | ⊢ ¬ (𝜑 ∧ 𝜓) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | notatnand.1 | . 2 ⊢ ¬ 𝜑 | |
2 | 1 | intnanr 952 | 1 ⊢ ¬ (𝜑 ∧ 𝜓) |
Colors of variables: wff setvar class |
Syntax hints: ¬ wn 3 ∧ wa 383 |
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 196 df-an 385 |
This theorem is referenced by: dandysum2p2e4 39814 |
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