intnan - Intuitionistic Logic Explorer

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Theorem intnan 937

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 668	1 $/\$

Colors of variables: wff set class

Syntax hints:

wn 3 $/\$ wa 104

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia2 107 ax-in1 619 ax-in2 620

This theorem is referenced by: bianfi 956 rabsnif 3763 axnul 4240 fodjum 7450 nninfwlporlemd 7476 iftrueb01 7546 pw1if 7548 2omotaplemap 7587 xrltnr 10131 nltmnf 10140 3lcm2e6woprm 12808 6lcm4e12 12809 eupth2lem1 16579 subctctexmid 16900