Nuprl Rule : sqequalExtensionalEquality

This rule proved as lemma rule_cequiv_extensional_equality_true in file rules/rules_squiggle4.v
 at https://github.com/vrahli/NuprlInCoq  

H  ⊢ (a ~ b) = (c ~ d) ∈ Type

  BY sqequalExtensionalEquality ()
  
  H  ⊢ ↓a ~ b ⇐⇒ c ~ d



Definitions occuring in rule :  equal: s = t ∈ T,  universe: Type,  squash: ↓T,  iff: P ⇐⇒ Q,  sqequal: s ~ t,  axiom: Ax

Latex:
H    \mvdash{}  (a  \msim{}  b)  =  (c  \msim{}  d)

    BY  sqequalExtensionalEquality  ()
   
    H    \mvdash{}  \mdownarrow{}a  \msim{}  b  \mLeftarrow{}{}\mRightarrow{}  c  \msim{}  d



Date html generated: 2019_06_20-PM-04_12_09
Last ObjectModification: 2016_07_08-PM-03_48_47

Theory : rules


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