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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 2495 | 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 1798 ax-4 1812 ax-5 1914 ax-6 1972 ax-7 2012 ax-10 2138 ax-12 2172 ax-13 2372 |
This theorem depends on definitions: df-bi 206 df-an 398 df-or 847 df-ex 1783 df-nf 1787 df-sb 2069 |
This theorem is referenced by: frege55lem2b 42073 |
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