gonaiil - brismu bridi

	brismu bridi		< Previous Next > Nearby theorems
Mirrors > Home > Home > Th. List > gonaiil

Theorem gonaiil 227

Description: Inference form of df-gonai 225 (Contributed by la korvo, 8-Aug-2023.)

**Hypothesis**
Ref	Expression
gonaiil.0	⊢ gonai broda gi brode

**Assertion**
Ref	Expression
gonaiil	⊢ ga broda gi brode

**Proof of Theorem gonaiil**
Step	Hyp	Ref	Expression
1		gonaiil.0	. . 3 ⊢ gonai broda gi brode
2	1	gonaii 226	. 2 ⊢ ge ga broda gi brode gi naku zo'u ge broda gi brode
3	2	ge-lei 37	1 ⊢ ga broda gi brode

Colors of variables: sumti selbri bridi

Syntax hints: ge bge 33 ga bga 127 naku bnk 210

This theorem was proved from axioms: ax-mp 10 ax-ge-le 34

This theorem depends on definitions: df-go 52 df-gonai 225

This theorem is referenced by: (None)