intnan - Intuitionistic Logic Explorer

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Theorem intnan 915

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 109	. 2 $/\$
3	1, 2	mto 652	1 $/\$

Colors of variables: wff set class

Syntax hints:

wn 3 $/\$ wa 103

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia2 106 ax-in1 604 ax-in2 605

This theorem is referenced by: bianfi 932 axnul 4089 fodjum 7089 xrltnr 9686 nltmnf 9695 3lcm2e6woprm 11963 6lcm4e12 11964 subctctexmid 13584