Nuprl Rule : pertypeMemberEquality

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

H  ⊢ t1 t2 ∈ pertype(R)

  BY pertypeMemberEquality !parameter{i:l}
  
  H  ⊢ pertype(R) ∈ Type
  H  ⊢ t1 t2
  H  ⊢ t1 ∈ Base



Definitions occuring in rule :  equal: t ∈ T universe: Type pertype: pertype(R) apply: a member: t ∈ T base: Base axiom: Ax

Latex:
H    \mvdash{}  t1  =  t2

    BY  pertypeMemberEquality  !parameter\{i:l\}
   
    H    \mvdash{}  pertype(R)  \mmember{}  Type
    H    \mvdash{}  R  t1  t2
    H    \mvdash{}  t1  \mmember{}  Base



Date html generated: 2019_06_20-PM-04_12_10
Last ObjectModification: 2018_09_07-PM-04_30_11

Theory : rules


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