intnan - Intuitionistic Logic Explorer

	Intuitionistic Logic Explorer		< Previous Next > Nearby theorems
Mirrors > Home > ILE Home > Th. List > intnan		Unicode version

Theorem intnan 930

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 663	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 615 ax-in2 616

This theorem is referenced by: bianfi 949 axnul 4155 fodjum 7207 nninfwlporlemd 7233 2omotaplemap 7319 xrltnr 9848 nltmnf 9857 3lcm2e6woprm 12227 6lcm4e12 12228 subctctexmid 15561