Nuprl Rule : dependent_set

Nuprl Rule : dependent_set_memberFormation

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

H  ⊢ {x:A| B}  ext a

  BY dependent_set_memberFormation !parameter{i:l} a y ()

  H  ⊢ a = a ∈ A
  H  ⊢ B[a/x]
  H y:A ⊢ B[y/x] = B[y/x] ∈ Type

Definitions occuring in rule : set: {x:A| B[x]} , equal: s = t ∈ T, universe: Type, axiom: Ax

Latex:
H \mvdash{} \{x:A| B\} ext a BY dependent\_set\_memberFormation !parameter\{i:l\} a y () H \mvdash{} a = a H \mvdash{} B[a/x] H y:A \mvdash{} B[y/x] = B[y/x] Date html generated: 2019_06_20-PM-04_11_59 Last ObjectModification: 2016_07_08-PM-03_49_00 Theory : rules Home Index