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Theorem ge-ganai 42

Description: Conjunction implies implication. Theorem pm3.4 in [ILE] p. 0. (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 35	. 2 ⊢ ganai ge broda gi brode gi brode
2	1	kd 24	1 ⊢ ganai ge broda gi brode gi ganai broda gi brode

Colors of variables: sumti selbri bridi

Syntax hints:  ge bge 33

This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 14  ax-ge-re 35

This theorem is referenced by:  ge-go  111  subeq-lem1  353

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