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Mirrors > Home > ILE Home > Th. List > addcli | Unicode version |
Description: Closure law for addition. (Contributed by NM, 23-Nov-1994.) |
Ref | Expression |
---|---|
axi.1 | |
axi.2 |
Ref | Expression |
---|---|
addcli |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axi.1 | . 2 | |
2 | axi.2 | . 2 | |
3 | addcl 7006 | . 2 | |
4 | 1, 2, 3 | mp2an 402 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1393 (class class class)co 5512 cc 6887 caddc 6892 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia3 101 ax-addcl 6980 |
This theorem is referenced by: negdii 7295 eqneg 7708 nummac 8399 binom2i 9360 |
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