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Mirrors > Home > MPE Home > Th. List > ax8v2 | Structured version Visualization version GIF version |
Description: Second of two weakened versions of ax8v 2115, with an extra disjoint variable condition on 𝑦, 𝑧 see comments there. (Contributed by BJ, 7-Dec-2020.) |
Ref | Expression |
---|---|
ax8v2 | ⊢ (𝑥 = 𝑦 → (𝑥 ∈ 𝑧 → 𝑦 ∈ 𝑧)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax8v 2115 | 1 ⊢ (𝑥 = 𝑦 → (𝑥 ∈ 𝑧 → 𝑦 ∈ 𝑧)) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 |
This theorem was proved from axioms: ax-8 2114 |
This theorem is referenced by: ax8 2118 |
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