nexmo - Mathbox for Peter Mazsa

	Mathbox for Peter Mazsa		< Previous Next > Nearby theorems
Mirrors > Home > MPE Home > Th. List > Mathboxes > nexmo		Structured version Visualization version Unicode version

Theorem nexmo 34011

Description: If there is no case where wff is true, it is true for at most one case. (Contributed by Peter Mazsa, 27-Sep-2021.)

**Assertion**
Ref	Expression
nexmo

**Proof of Theorem nexmo**
Step	Hyp	Ref	Expression
1		pm2.21 120	. 2
2		df-mo 2475	. 2
3	1, 2	sylibr 224	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4

wex 1704

weu 2470

wmo 2471

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-mo 2475

This theorem is referenced by: (None)