source:
src/utilities/deqsets.ma
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1 | include "basics/deqsets.ma". |
2 | |
3 | lemma eqb_elim : ∀D:DeqSet. ∀P:bool → Type[0]. ∀x,y:D. |
4 | (x = y → P true) → |
5 | (x ≠ y → P false) → |
6 | P (eqb D x y). |
7 | #D #P #x #y #T #F lapply (eqb_true D x y) cases (eqb D x y) * |
8 | [ #TT #_ @T @TT // |
9 | | #_ #FF @F % #E destruct lapply (FF (refl ??)) #E destruct |
10 | ] qed. |
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