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Mirrors > Home > MPE Home > Th. List > Mathboxes > frege54cor1b | Structured version Visualization version GIF version |
Description: Reflexive equality. (Contributed by RP, 24-Dec-2019.) |
Ref | Expression |
---|---|
frege54cor1b | ⊢ [𝑥 / 𝑦]𝑦 = 𝑥 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equsb1 2529 | 1 ⊢ [𝑥 / 𝑦]𝑦 = 𝑥 |
Colors of variables: wff setvar class |
Syntax hints: [wsb 2068 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1910 ax-6 1969 ax-7 2014 ax-10 2144 ax-12 2176 ax-13 2389 |
This theorem depends on definitions: df-bi 209 df-an 399 df-or 844 df-ex 1780 df-nf 1784 df-sb 2069 |
This theorem is referenced by: frege55lem2b 40248 |
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