syl6c - brismu bridi

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Theorem syl6c 26

Description: A contractive variant of syl6 25 (Contributed by la korvo, 31-Jul-2023.)

**Hypotheses**
Ref	Expression
syl6c.0	⊢ ganai broda gi ganai brode gi brodi
syl6c.1	⊢ ganai broda gi ganai brode gi brodo
syl6c.2	⊢ ganai brodi gi ganai brodo gi brodu

**Assertion**
Ref	Expression
syl6c	⊢ ganai broda gi ganai brode gi brodu

**Proof of Theorem syl6c**
Step	Hyp	Ref	Expression
1		syl6c.1	. 2 ⊢ ganai broda gi ganai brode gi brodo
2		syl6c.0	. . 3 ⊢ ganai broda gi ganai brode gi brodi
3		syl6c.2	. . 3 ⊢ ganai brodi gi ganai brodo gi brodu
4	2, 3	syl6 25	. 2 ⊢ ganai broda gi ganai brode gi ganai brodo gi brodu
5	1, 4	mpdd 23	1 ⊢ ganai broda gi ganai brode 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: syldd 40 isodd 92