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| Mirrors > Home > Home > Th. List > sumji-no | |||
| Description: Every natural number is equal to zero plus itself. (Contributed by la korvo, 30-Aug-2024.) |
| Ref | Expression |
|---|---|
| sumji-no | ⊢ li ku'i'a sumji li no li ku'i'a |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-plus-zero 600 | . 2 ⊢ li su'i ku'i'a no du li ku'i'a | |
| 2 | df-sumji 604 | . 2 ⊢ go li ku'i'a sumji li no li ku'i'a gi li su'i ku'i'a no du li ku'i'a | |
| 3 | 1, 2 | bi-rev 102 | 1 ⊢ li ku'i'a sumji li no li ku'i'a |
| Colors of variables: sumti selbri bridi |
| Syntax hints: du sbdu 250 li sli 573 no p0 574 su'i msuhi 599 sumji bsumji 603 |
| 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-plus-zero 600 |
| This theorem depends on definitions: df-go 83 df-sumji 604 |
| This theorem is referenced by: (None) |
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