mpdan - brismu bridi

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Theorem mpdan 72

Description: A variant of mpan 73 (Contributed by la korvo, 8-Jul-2025.)

**Hypotheses**
Ref	Expression
mpdan.0	⊢ ganai broda gi brode
mpdan.1	⊢ ganai ge broda gi brode gi brodi

**Assertion**
Ref	Expression
mpdan	⊢ ganai broda gi brodi

**Proof of Theorem mpdan**
Step	Hyp	Ref	Expression
1		id 19	. 2 ⊢ ganai broda gi broda
2		mpdan.0	. 2 ⊢ ganai broda gi brode
3		mpdan.1	. 2 ⊢ ganai ge broda gi brode gi brodi
4	1, 2, 3	syl2anc 70	1 ⊢ ganai broda gi brodi

Colors of variables: sumti selbri bridi

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-in 50

This theorem is referenced by: mpan2 74