con2i - brismu bridi

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Theorem con2i 292

Description: The standard contrapositive inference. (Contributed by la korvo, 1-Jan-2025.)

**Hypothesis**
Ref	Expression
con2i.0	⊢ ganai broda gi naku brode

**Assertion**
Ref	Expression
con2i	⊢ ganai brode gi naku broda

**Proof of Theorem con2i**
Step	Hyp	Ref	Expression
1		con2i.0	. 2 ⊢ ganai broda gi naku brode
2		id 19	. 2 ⊢ ganai brode gi brode
3	1, 2	nsyl3 291	1 ⊢ ganai brode gi naku broda

Colors of variables: sumti selbri bridi

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-sdo 281 ax-efq 284

This theorem is referenced by: nakunaku 293 nsyl 295