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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 2523 | 1 ⊢ [𝑥 / 𝑦]𝑦 = 𝑥 |
| Colors of variables: wff setvar class |
| Syntax hints: [wsb 2091 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1816 ax-4 1830 ax-5 1931 ax-6 1988 ax-7 2029 ax-10 2176 ax-12 2213 ax-13 2404 |
| This theorem depends on definitions: df-bi 209 df-an 400 df-or 859 df-ex 1801 df-nf 1805 df-sb 2092 |
| This theorem is referenced by: frege55lem2b 44473 |
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