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Mirrors > Home > MPE Home > Th. List > eqtr4i | Structured version Visualization version GIF version |
Description: An equality transitivity inference. (Contributed by NM, 26-May-1993.) |
Ref | Expression |
---|---|
eqtr4i.1 | ⊢ 𝐴 = 𝐵 |
eqtr4i.2 | ⊢ 𝐶 = 𝐵 |
Ref | Expression |
---|---|
eqtr4i | ⊢ 𝐴 = 𝐶 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqtr4i.1 | . 2 ⊢ 𝐴 = 𝐵 | |
2 | eqtr4i.2 | . . 3 ⊢ 𝐶 = 𝐵 | |
3 | 2 | eqcomi 2747 | . 2 ⊢ 𝐵 = 𝐶 |
4 | 1, 3 | eqtri 2766 | 1 ⊢ 𝐴 = 𝐶 |
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