pilji-no - brismu bridi

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Theorem pilji-no 612

Description: Every natural number times zero is zero. (Contributed by la korvo, 30-Aug-2024.)

**Assertion**
Ref	Expression
pilji-no	⊢ li ku'i'a pilji li no li no

**Proof of Theorem pilji-no**
Step	Hyp	Ref	Expression
1		ax-mul-zero 608	. 2 ⊢ li pi'i ku'i'a no du li no
2		df-pilji 611	. 2 ⊢ go li ku'i'a pilji li no li no gi li pi'i ku'i'a no du li no
3	1, 2	bi-rev 102	1 ⊢ li ku'i'a pilji li no li no

Colors of variables: sumti selbri bridi

Syntax hints: du sbdu 250 li sli 573 no p0 574 pi'i mpihi 607 pilji bpilji 610

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 ax-mul-zero 608

This theorem depends on definitions: df-go 83 df-pilji 611

This theorem is referenced by: (None)