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sav08:axioms_of_hol [2008/05/28 02:44] vkuncak |
sav08:axioms_of_hol [2008/05/28 03:06] vkuncak |
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- $\iota(\lambda y.(x=y)) = x$ (selecting element from $\{x\}$ gives $x$) | - $\iota(\lambda y.(x=y)) = x$ (selecting element from $\{x\}$ gives $x$) | ||
+ | Inference rule: | ||
+ | \[ | ||
+ | \frac{C\ \ ; \ \ A=B} | ||
+ | {C[A:=B]} | ||
+ | \] | ||
+ | which replaces one occurrence of $A$ in $C$ with $B$ (we cannot replace variables under $\lambda$) |