intnanr - Intuitionistic Logic Explorer

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Theorem intnanr 942

Description: Introduction of conjunct inside of a contradiction. (Contributed by NM, 3-Apr-1995.)

**Hypothesis**
Ref	Expression
intnan.1

**Assertion**
Ref	Expression
intnanr	$/\$

**Proof of Theorem intnanr**
Step	Hyp	Ref	Expression
1		intnan.1	. 2
2		simpl 109	. 2 $/\$
3	1, 2	mto 672	1 $/\$

Colors of variables: wff set class

This proof depends on syntax axioms:

wn 3 $/\$ wa 104

This proof depends on axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-in1 623 ax-in2 624

This theorem is used by: rab0 3551 co02 5301 frec0g 6668 djulclb 7395 xrltnr 10181 pnfnlt 10189 nltmnf 10190 hashf1lem2 11286 0g0 13696