sumji-no - brismu bridi

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Theorem sumji-no 611

Description: Every natural number is equal to itself plus zero. This theorem is usually stated on the left, but we state it on the right to align with ax-plus-zero 606 (Contributed by la korvo, 30-Aug-2024.)

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

**Proof of Theorem sumji-no**
Step	Hyp	Ref	Expression
1		ax-plus-zero 606	. . 3 ⊢ li su'i ku'i'a no du li ku'i'a
2	1	du-symi 259	. 2 ⊢ li ku'i'a du li su'i ku'i'a no
3		df-sumji 610	. 2 ⊢ go li ku'i'a sumji li ku'i'a li no gi li ku'i'a du li su'i ku'i'a no
4	2, 3	bi-rev 102	1 ⊢ li ku'i'a sumji li ku'i'a li no

Colors of variables: sumti selbri bridi

Syntax hints: du sbdu 250 li sli 579 no p0 580 su'i msuhi 605 sumji bsumji 609

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-gen2 227 ax-spec2 232 ax-qi2 239 ax-plus-zero 606

This theorem depends on definitions: df-go 83 df-o 198 df-du 251 df-sumji 610

This theorem is referenced by: (None)

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