con2i - brismu bridi

	brismu bridi		< Previous Next > Nearby theorems
Mirrors > Home > Home > Th. List > con2i

Theorem con2i 255

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 18	. 2 ⊢ ganai brode gi brode
3	1, 2	nsyl3 254	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 245 ax-efq 248

This theorem is referenced by: nakunaku 256 nsyl 258