cur - brismu bridi

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Theorem cur 44

Description: The natural curry (or "import") for any well-formed statement. Theorem imp in [ILE] p. 0. (Contributed by la korvo, 31-Jul-2023.)

**Hypothesis**
Ref	Expression
cur.0	⊢ ganai broda gi ganai brode gi brodi

**Assertion**
Ref	Expression
cur	⊢ ganai ge broda gi brode gi brodi

**Proof of Theorem cur**
Step	Hyp	Ref	Expression
1		ax-ge-le 34	. 2 ⊢ ganai ge broda gi brode gi broda
2		ax-ge-re 35	. 2 ⊢ ganai ge broda gi brode gi brode
3		cur.0	. 2 ⊢ ganai broda gi ganai brode gi brodi
4	1, 2, 3	sylc 30	1 ⊢ ganai ge broda gi brode gi brodi

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-le 34 ax-ge-re 35

This theorem is referenced by: ge-com-lem 109 naku-uncur 212