ainaiaandna - Mathbox for Jarvin Udandy

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Theorem ainaiaandna 41091

Description: Given a, a implies it is not the case a implies a self contradiction. (Contributed by Jarvin Udandy, 7-Sep-2020.)

**Hypothesis**
Ref	Expression
ainaiaandna.1

**Assertion**
Ref	Expression
ainaiaandna	$/\$

**Proof of Theorem ainaiaandna**
Step	Hyp	Ref	Expression
1		ainaiaandna.1	. . 3
2	1	atnaiana 41090	. 2 $/\$
3	2	a1i 11	1 $/\$

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $/\$ wa 384

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8

This theorem depends on definitions: df-bi 197 df-an 386 df-tru 1486 df-fal 1489

This theorem is referenced by: (None)