syldd - brismu bridi

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Theorem syldd 40

Description: Deduction form of syld (future) (Contributed by la korvo, 1-Jan-2025.)

**Hypotheses**
Ref	Expression
syldd.1	⊢ ganai broda gi ganai brode gi ganai brodi gi brodo
syldd.2	⊢ ganai broda gi ganai brode gi ganai brodo gi brodu

**Assertion**
Ref	Expression
syldd	⊢ ganai broda gi ganai brode gi ganai brodi gi brodu

**Proof of Theorem syldd**
Step	Hyp	Ref	Expression
1		syldd.2	. 2 ⊢ ganai broda gi ganai brode gi ganai brodo gi brodu
2		syldd.1	. 2 ⊢ ganai broda gi ganai brode gi ganai brodi gi brodo
3		ganai-comp-rl 39	. 2 ⊢ ganai ganai brodo gi brodu gi ganai ganai brodi gi brodo gi ganai brodi gi brodu
4	1, 2, 3	syl6c 26	1 ⊢ ganai broda gi ganai brode gi ganai brodi gi brodu

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: syl5d 41