sdod - brismu bridi

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Theorem sdod 247

Description: Deduction form of ax-sdo 245 (Contributed by la korvo, 4-Jan-2025.)

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

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

**Proof of Theorem sdod**
Step	Hyp	Ref	Expression
1		sdod.0	. 2 ⊢ ganai broda gi ganai brode gi naku brode
2		ax-sdo 245	. 2 ⊢ ganai ganai brode gi naku brode gi naku brode
3	1, 2	syl 20	1 ⊢ ganai broda gi naku brode

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9 naku bnk 236

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-sdo 245

This theorem is referenced by: (None)