ganai-abs - brismu bridi

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Theorem ganai-abs 29

Description: Absorb a redundant antecedent. (Contributed by la korvo, 30-Jul-2023.)

**Hypothesis**
Ref	Expression
ganai-abs.0	⊢ ganai broda gi ganai broda gi brode

**Assertion**
Ref	Expression
ganai-abs	⊢ ganai broda gi brode

**Proof of Theorem ganai-abs**
Step	Hyp	Ref	Expression
1		id 17	. 2 ⊢ ganai broda gi broda
2		ganai-abs.0	. 2 ⊢ ganai broda gi ganai broda gi brode
3	1, 2	mpd 16	1 ⊢ ganai broda gi brode

Colors of variables: sumti selbri bridi

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

This theorem is referenced by: sylc 30 isod 62 ge-diag 112