| Mathbox for Richard Penner |
< Previous
Next >
Nearby theorems |
||
| 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 2494 | 1 ⊢ [𝑥 / 𝑦]𝑦 = 𝑥 |
| Colors of variables: wff setvar class |
| Syntax hints: [wsb 2063 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1794 ax-4 1808 ax-5 1909 ax-6 1966 ax-7 2006 ax-10 2140 ax-12 2176 ax-13 2375 |
| This theorem depends on definitions: df-bi 207 df-an 396 df-or 848 df-ex 1779 df-nf 1783 df-sb 2064 |
| This theorem is referenced by: frege55lem2b 43854 |
| Copyright terms: Public domain | W3C validator |