Nuprl Lemma : assert_of_eq_int_rw

∀[x,y:ℤ].  {uiff(↑(x =z y);x = y ∈ ℤ)}


Proof




Definitions occuring in Statement :  assert: ↑b,  eq_int: (i =z j),  uiff: uiff(P;Q),  uall: ∀[x:A]. B[x],  guard: {T},  int: ℤ,  equal: s = t ∈ T
Definitions unfolded in proof :  guard: {T}
Lemmas referenced :  assert_of_eq_int
Rules used in proof :  sqequalSubstitution,  sqequalRule,  sqequalReflexivity,  sqequalTransitivity,  computationStep,  lemma_by_obid

Latex:
\mforall{}[x,y:\mBbbZ{}].    \{uiff(\muparrow{}(x  =\msubz{}  y);x  =  y)\}



Date html generated: 2016_05_13-PM-03_56_56
Last ObjectModification: 2015_12_26-AM-10_51_57

Theory : bool_1


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