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Theorem moani 2256

Description: "At most one" is still true when a conjunct is added. (Contributed by NM, 9-Mar-1995.)

**Hypothesis**
Ref	Expression
moani.1

**Assertion**
Ref	Expression
moani	$/\$

**Proof of Theorem moani**
Step	Hyp	Ref	Expression
1		moani.1	. 2
2		moan 2255	. 2 $/\$
3	1, 2	ax-mp 5	1 $/\$

Colors of variables: wff setvar class

Syntax hints: $/\$ wa 358

wmo 2205

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925

This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-eu 2208 df-mo 2209

This theorem is referenced by: euxfr2 3022 ovmpt2x 5713