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} ()
  
  H  ⊢ a ∈ A
  H  ⊢ B[a/x]
  y:A ⊢ B[y/x] B[y/x] ∈ Type



Definitions occuring in rule :  set: {x:A| B[x]}  equal: 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: 2016_12_14-AM-08_53_39
Last ObjectModification: 2016_07_08-PM-03_49_00

Theory : rules


Home Index