Description: 1 is a multiplicative identity for _i (see sn-mulid2 for commuted version). (Contributed by SN, 1-Jun-2024)
Ref | Expression | ||
---|---|---|---|
Assertion | it1ei | ⊢ ( i · 1 ) = i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sn-1ticom | ⊢ ( 1 · i ) = ( i · 1 ) | |
2 | ax-icn | ⊢ i ∈ ℂ | |
3 | sn-mulid2 | ⊢ ( i ∈ ℂ → ( 1 · i ) = i ) | |
4 | 2 3 | ax-mp | ⊢ ( 1 · i ) = i |
5 | 1 4 | eqtr3i | ⊢ ( i · 1 ) = i |