mpdd - brismu bridi

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Theorem mpdd 23

Description: Nested form of mpd 18 (Contributed by la korvo, 31-Jul-2023.)

**Hypotheses**
Ref	Expression
mpdd.0	⊢ ganai broda gi ganai brode gi brodi
mpdd.1	⊢ ganai broda gi ganai brode gi ganai brodi gi brodo

**Assertion**
Ref	Expression
mpdd	⊢ ganai broda gi ganai brode gi brodo

**Proof of Theorem mpdd**
Step	Hyp	Ref	Expression
1		mpdd.0	. 2 ⊢ ganai broda gi ganai brode gi brodi
2		mpdd.1	. . 3 ⊢ ganai broda gi ganai brode gi ganai brodi gi brodo
3	2	sd 22	. 2 ⊢ ganai broda gi ganai ganai brode gi brodi gi ganai brode gi brodo
4	1, 3	mpd 18	1 ⊢ ganai broda 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: syl6c 26