weakard - brismu bridi

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Theorem weakard 64

Description: Deduction form of weakar 63 (Contributed by la korvo, 9-Jul-2025.)

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

**Assertion**
Ref	Expression
weakard	⊢ ganai broda gi ganai ge brode gi brodo gi brodi

**Proof of Theorem weakard**
Step	Hyp	Ref	Expression
1		ax-ge-le 48	. 2 ⊢ ganai ge brode gi brodo gi brode
2		weakard.0	. 2 ⊢ ganai broda gi ganai brode gi brodi
3	1, 2	syl5 32	1 ⊢ ganai broda gi ganai ge brode gi brodo gi brodi

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-le 48

This theorem is referenced by: syldan 66