Nuprl Rule : atom2_eqExceptionCases

H  ⊢ a = b ∈ T

  BY atom2_eqExceptionCases x y t u z w ()

  H  ⊢ is-exception(if t=2 u then z else w)
  H x:(t ∈ Atom2), y:(u ∈ Atom2) ⊢ a = b ∈ T
  H x:(t ∈ Atom2), y:is-exception(u) ⊢ a = b ∈ T
  H x:is-exception(t) ⊢ a = b ∈ T
  H  ⊢ t ∈ Base
  H  ⊢ u ∈ Base

Definitions occuring in rule : atom_eq: atomeqn def, atom: Atom$n, is-exception: is-exception(t), equal: s = t ∈ T, member: t ∈ T, base: Base, axiom: Ax

Latex:
H \mvdash{} a = b BY atom2\_eqExceptionCases x y t u z w () H \mvdash{} is-exception(if t=2 u then z else w) H x:(t \mmember{} Atom2), y:(u \mmember{} Atom2) \mvdash{} a = b H x:(t \mmember{} Atom2), y:is-exception(u) \mvdash{} a = b H x:is-exception(t) \mvdash{} a = b H \mvdash{} t \mmember{} Base H \mvdash{} u \mmember{} Base Date html generated: 2019_06_20-PM-04_12_00 Last ObjectModification: 2015_11_25-PM-03_47_04 Theory : rules Home Index