Nuprl Rule : freeFromAtomSet

This rule proved as lemma rule_free_from_atom_equality_true3 in file rules/rules_free_from_atom.v
at https://github.com/vrahli/NuprlInCoq

H  ⊢ a#x:{v:T| P}

  BY freeFromAtomSet ()

  H  ⊢ a#x:T
  H  ⊢ x ∈ {v:T| P}

Definitions occuring in rule : free-from-atom: a#x:T, member: t ∈ T, set: {x:A| B[x]} , axiom: Ax

Latex:
H \mvdash{} a\#x:\{v:T| P\} BY freeFromAtomSet () H \mvdash{} a\#x:T H \mvdash{} x \mmember{} \{v:T| P\} Date html generated: 2019_06_20-PM-04_11_58 Last ObjectModification: 2015_11_25-PM-03_57_48 Theory : rules Home Index