mpki - brismu bridi

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Theorem mpki 13

Description: Discharge a proven antecedent and replace it with another one. (Contributed by la korvo, 4-Jan-2025.)

**Hypotheses**
Ref	Expression
mpki.0	⊢ broda
mpki.1	⊢ ganai broda gi brode

**Assertion**
Ref	Expression
mpki	⊢ ganai brodi gi brode

**Proof of Theorem mpki**
Step	Hyp	Ref	Expression
1		mpki.0	. . 3 ⊢ broda
2		mpki.1	. . 3 ⊢ ganai broda gi brode
3	1, 2	ax-mp 10	. 2 ⊢ brode
4	3	ki 12	1 ⊢ ganai brodi gi brode

Colors of variables: sumti selbri bridi

This theorem was proved from axioms: ax-mp 10 ax-k 11

This theorem is referenced by: (None)