sd - brismu bridi

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Theorem sd 22

Description: Deductive form of ax-s 15 (Contributed by la korvo, 31-Jul-2023.)

**Hypothesis**
Ref	Expression
sd.0	⊢ ganai broda gi ganai brode gi ganai brodi gi brodo

**Assertion**
Ref	Expression
sd	⊢ ganai broda gi ganai ganai brode gi brodi gi ganai brode gi brodo

**Proof of Theorem sd**
Step	Hyp	Ref	Expression
1		sd.0	. 2 ⊢ ganai broda gi ganai brode gi ganai brodi gi brodo
2		ax-s 15	. 2 ⊢ ganai ganai brode gi ganai brodi gi brodo gi ganai ganai brode gi brodi gi ganai brode gi brodo
3	1, 2	syl 21	1 ⊢ ganai broda gi ganai ganai brode gi brodi gi ganai brode gi brodo

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9

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

This theorem is referenced by: mpdd 23 ganai-comp-rld 38