Description: A ring is a magma. (Contributed by AV, 31-Jan-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | ringmgm | ⊢ ( 𝑅 ∈ Ring → 𝑅 ∈ Mgm ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ringmnd | ⊢ ( 𝑅 ∈ Ring → 𝑅 ∈ Mnd ) | |
2 | mndmgm | ⊢ ( 𝑅 ∈ Mnd → 𝑅 ∈ Mgm ) | |
3 | 1 2 | syl | ⊢ ( 𝑅 ∈ Ring → 𝑅 ∈ Mgm ) |