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Mirrors > Home > MPE Home > Th. List > Mathboxes > scotteq | Structured version Visualization version GIF version |
Description: Closed form of scotteqd 40663. (Contributed by Rohan Ridenour, 9-Aug-2023.) |
Ref | Expression |
---|---|
scotteq | ⊢ (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 22 | . 2 ⊢ (𝐴 = 𝐵 → 𝐴 = 𝐵) | |
2 | 1 | scotteqd 40663 | 1 ⊢ (𝐴 = 𝐵 → Scott 𝐴 = Scott 𝐵) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 = wceq 1537 Scott cscott 40661 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1911 ax-6 1970 ax-7 2015 ax-8 2116 ax-9 2124 ax-ext 2793 |
This theorem depends on definitions: df-bi 209 df-an 399 df-ex 1781 df-sb 2070 df-clab 2800 df-cleq 2814 df-clel 2893 df-ral 3143 df-rab 3147 df-scott 40662 |
This theorem is referenced by: (None) |
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