sylibr - brismu bridi

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Theorem sylibr 74

Description: Apply a definition to a consequent. Theorem sylibr in [ILE] p. 0. (Contributed by la korvo, 22-Jun-2024.)

**Hypotheses**
Ref	Expression
sylibr.0	⊢ ganai broda gi brode
sylibr.1	⊢ go brodi gi brode

**Assertion**
Ref	Expression
sylibr	⊢ ganai broda gi brodi

**Proof of Theorem sylibr**
Step	Hyp	Ref	Expression
1		sylibr.0	. 2 ⊢ ganai broda gi brode
2		sylibr.1	. . 3 ⊢ go brodi gi brode
3	2	bi-rev-syl 71	. 2 ⊢ ganai brode gi brodi
4	1, 3	syl 18	1 ⊢ ganai broda gi brodi

Colors of variables: sumti selbri bridi

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 14 ax-ge-le 34 ax-ge-re 35 ax-ge-in 36

This theorem depends on definitions: df-go 52

This theorem is referenced by: sylanbrc 75