Description: A chained equinumerosity inference. (Contributed by NM, 25-Sep-2004)
Ref | Expression | ||
---|---|---|---|
Hypotheses | entr4i.1 | ⊢ 𝐴 ≈ 𝐵 | |
entr4i.2 | ⊢ 𝐶 ≈ 𝐵 | ||
Assertion | entr4i | ⊢ 𝐴 ≈ 𝐶 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | entr4i.1 | ⊢ 𝐴 ≈ 𝐵 | |
2 | entr4i.2 | ⊢ 𝐶 ≈ 𝐵 | |
3 | 2 | ensymi | ⊢ 𝐵 ≈ 𝐶 |
4 | 1 3 | entri | ⊢ 𝐴 ≈ 𝐶 |