weakal - brismu bridi

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Theorem weakal 67

Description: Weaken an antecedent on the left. (Contributed by la korvo, 9-Jul-2025.)

**Hypothesis**
Ref	Expression
weakal.0	⊢ ganai broda gi brode

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

**Proof of Theorem weakal**
Step	Hyp	Ref	Expression
1		weakal.0	. . 3 ⊢ ganai broda gi brode
2	1	weakar 63	. 2 ⊢ ganai ge broda gi brodi gi brode
3	2	answap 65	1 ⊢ ganai ge brodi gi broda gi brode

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: sylan2 68 ga-dist-ge 182