sd - brismu bridi

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

Theorem sd 19

Description: Deductive form of ax-s 14 (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 14	. 2 ⊢ ganai ganai brode gi ganai brodi gi brodo gi ganai ganai brode gi brodi gi ganai brode gi brodo
3	1, 2	syl 18	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 14

This theorem is referenced by: mpdd 20