Nuprl Rule : spreadExceptionCases

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

H  ⊢ a = b ∈ T

  BY spreadExceptionCases x t y,z.u ()

  H  ⊢ is-exception(let y,z = t in u)
  H x:(t ∈ Top × Top) ⊢ a = b ∈ T
  H x:is-exception(t) ⊢ a = b ∈ T
  H  ⊢ t ∈ Base

Definitions occuring in rule : spread: spread def, product: x:A × B[x], top: Top, is-exception: is-exception(t), equal: s = t ∈ T, member: t ∈ T, base: Base, axiom: Ax

Latex:
H \mvdash{} a = b BY spreadExceptionCases x t y,z.u () H \mvdash{} is-exception(let y,z = t in u) H x:(t \mmember{} Top \mtimes{} Top) \mvdash{} a = b H x:is-exception(t) \mvdash{} a = b H \mvdash{} t \mmember{} Base Date html generated: 2019_06_20-PM-04_12_00 Last ObjectModification: 2016_07_08-PM-03_48_48 Theory : rules Home Index