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Mirrors > Home > MPE Home > Th. List > ax7v1 | Structured version Visualization version GIF version |
Description: First of two weakened versions of ax7v 1933, with an extra dv condition on 𝑥, 𝑧, see comments there. (Contributed by BJ, 7-Dec-2020.) |
Ref | Expression |
---|---|
ax7v1 | ⊢ (𝑥 = 𝑦 → (𝑥 = 𝑧 → 𝑦 = 𝑧)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax7v 1933 | 1 ⊢ (𝑥 = 𝑦 → (𝑥 = 𝑧 → 𝑦 = 𝑧)) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 |
This theorem was proved from axioms: ax-7 1932 |
This theorem is referenced by: equid 1936 ax7 1940 ax13 2248 |
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