intnan - Intuitionistic Logic Explorer

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Theorem intnan 838

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 103	. 2 $/\$
3	1, 2	mto 588	1 $/\$

Colors of variables: wff set class

Syntax hints:

wn 3 $/\$ wa 97

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia2 100 ax-in1 544 ax-in2 545

This theorem is referenced by: bianfi 854 axnul 3882 xrltnr 8701 nltmnf 8709