Theorem notatnand 47693

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.)

Hypothesis

Ref	Expression
notatnand.1	⊢ ¬ 𝜑

Assertion

Ref	Expression
notatnand	⊢ ¬ (𝜑 ∧ 𝜓)

Proof of Theorem notatnand

Step	Hyp	Ref	Expression
1		notatnand.1	. 2 ⊢ ¬ 𝜑
2	1	intnanr 493	1 ⊢ ¬ (𝜑 ∧ 𝜓)

This proof depends on syntax axioms:  ¬ wn 3   ∧ wa 401

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 210  df-an 402

This theorem is used by:  dandysum2p2e4  47795