Nuprl Rule : applyExceptionCases

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

H  ⊢ a = b ∈ T

  BY applyExceptionCases x t u ()

  H  ⊢ is-exception(t u)
  H x:(t)↓ ⊢ a = b ∈ T
  H x:is-exception(t) ⊢ a = b ∈ T
  H  ⊢ t ∈ Base

Definitions occuring in rule : apply: f a, has-value: (a)↓, is-exception: is-exception(t), equal: s = t ∈ T, member: t ∈ T, base: Base, axiom: Ax

Latex:
H \mvdash{} a = b BY applyExceptionCases x t u () H \mvdash{} is-exception(t u) H x:(t)\mdownarrow{} \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_02 Last ObjectModification: 2016_07_08-PM-03_49_08 Theory : rules Home Index