ganai-comp-rli - brismu bridi

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Theorem ganai-comp-rli 17

Description: Lift an implication to have a common antecedent as an environment. Right-to-left composition of arrows. (Contributed by la korvo, 8-Jul-2025.)

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

**Assertion**
Ref	Expression
ganai-comp-rli	⊢ ganai ganai brodi gi broda gi ganai brodi gi brode

**Proof of Theorem ganai-comp-rli**
Step	Hyp	Ref	Expression
1		ganai-comp-rli.0	. . 3 ⊢ ganai broda gi brode
2	1	ki 12	. 2 ⊢ ganai brodi gi ganai broda gi brode
3	2	si 16	1 ⊢ ganai ganai brodi gi broda gi ganai brodi gi brode

Colors of variables: sumti selbri bridi

Syntax hints: ganai bgan 9

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15

This theorem is referenced by: exim 426

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