Nuprl Rule : unionElimination

This rule proved as lemma rule_union_elimination_true in file rules/rules_union.v
at https://github.com/vrahli/NuprlInCoq

H z:(A + B), J ⊢ T ext case z of inl(x) => left | inr(y) => right

  BY unionElimination #$i x y

  H z:(A + B), x:A, J[inl x/z] ⊢ T[inl x/z] ext left
  H z:(A + B), y:B, J[inr y /z] ⊢ T[inr y /z] ext right

Definitions occuring in rule : decide: case b of inl(x) => s[x] | inr(y) => t[y], inl: inl x, union: left + right, inr: inr x

Latex:
H z:(A + B), J \mvdash{} T ext case z of inl(x) => left | inr(y) => right BY unionElimination \#\$i x y H z:(A + B), x:A, J[inl x/z] \mvdash{} T[inl x/z] ext left H z:(A + B), y:B, J[inr y /z] \mvdash{} T[inr y /z] ext right Date html generated: 2019_06_20-PM-04_11_49 Last ObjectModification: 2018_08_24-PM-04_27_03 Theory : rules Home Index