Nuprl Rule : isect_memberEquality

Nuprl Rule : isect_memberEquality_alt

This rule proved as lemma rule_isect_member_equality_true in file rules/rules_isect2.v
at https://github.com/vrahli/NuprlInCoq

H  ⊢ b1 = b2 ∈ (⋂x:A. B)

  BY isect_memberEquality_alt z ()

  H z:A ⊢ b1 = b2 ∈ B[z/x]
  H  ⊢ istype(A)

Latex:
H \mvdash{} b1 = b2 BY isect\_memberEquality\_alt z () H z:A \mvdash{} b1 = b2 H \mvdash{} istype(A) Date html generated: 2019_06_20-PM-04_11_46 Last ObjectModification: 2018_09_25-PM-02_09_45 Theory : rules Home Index