Nuprl Rule : equalityUniverse

This rule proved as lemma rule_equality_universe_true3 in file rules/rules_equality6.v
at https://github.com/vrahli/NuprlInCoq

H  ⊢ A1 = A2 ∈ Type

  BY equalityUniverse x1 y1 x2 y2 ()

  H  ⊢ (x1 = y1 ∈ A1) = (x2 = y2 ∈ A2) ∈ Type

Definitions occuring in rule : universe: Type, equal: s = t ∈ T, axiom: Ax

Latex:
H \mvdash{} A1 = A2 BY equalityUniverse x1 y1 x2 y2 () H \mvdash{} (x1 = y1) = (x2 = y2) Date html generated: 2019_06_20-PM-04_11_52 Last ObjectModification: 2016_07_08-PM-03_48_59 Theory : rules Home Index