answap - brismu bridi

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Theorem answap 65

Description: Swap antecedents. (Contributed by la korvo, 9-Jul-2025.)

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

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

**Proof of Theorem answap**
Step	Hyp	Ref	Expression
1		answap.0	. . . 4 ⊢ ganai ge broda gi brode gi brodi
2	1	uncur 61	. . 3 ⊢ ganai broda gi ganai brode gi brodi
3	2	ganai-swap12 29	. 2 ⊢ ganai brode gi ganai broda gi brodi
4	3	cur 59	1 ⊢ ganai ge brode gi 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-le 48 ax-ge-re 49 ax-ge-in 50

This theorem is referenced by: weakal 67