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Theorem ge-ganai 57

Description: Conjunction implies implication. (Contributed by la korvo, 22-Jun-2024.)

Assertion

Ref	Expression
ge-ganai	⊢ ganai ge broda gi brode gi ganai broda gi brode

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Proof of Theorem ge-ganai

Step	Hyp	Ref	Expression
1		ax-ge-re 49	. 2 ⊢ ganai ge broda gi brode gi brode
2	1	kd 27	1 ⊢ ganai ge broda gi brode gi ganai broda gi brode

Colors of variables: sumti selbri bridi

Syntax hints:   ge bge 47

This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 15  ax-ge-re 49

This theorem is referenced by:  ge-go  143  subeq-lem1  450

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