intnan - Intuitionistic Logic Explorer

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Theorem intnan 941

Description: Introduction of conjunct inside of a contradiction. (Contributed by NM, 16-Sep-1993.)

**Hypothesis**
Ref	Expression
intnan.1

**Assertion**
Ref	Expression
intnan	$/\$

**Proof of Theorem intnan**
Step	Hyp	Ref	Expression
1		intnan.1	. 2
2		simpr 110	. 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-ia2 107 ax-in1 623 ax-in2 624

This theorem is used by: bianfi 960 rabsnif 3778 axnul 4260 fodjum 7492 nninfwlporlemd 7518 iftrueb01 7588 pw1if 7590 2omotaplemap 7629 xrltnr 10198 nltmnf 10207 3lcm2e6woprm 12889 6lcm4e12 12890 eupth2lem1 16904 subctctexmid 17235