Nuprl Lemma : lifting-apply-callbyvalue

[a,B,c:Top].  (eval in B[x] eval in B[x] c)


Proof




Definitions occuring in Statement :  callbyvalue: callbyvalue uall: [x:A]. B[x] top: Top so_apply: x[s] apply: a sqequal: t
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T so_lambda: so_lambda(x,y,z,w.t[x; y; z; w]) so_apply: x[s1;s2;s3;s4] top: Top uimplies: supposing a strict4: strict4(F) and: P ∧ Q all: x:A. B[x] implies:  Q has-value: (a)↓ prop: guard: {T} or: P ∨ Q squash: T so_lambda: λ2x.t[x] so_apply: x[s]
Lemmas referenced :  top_wf is-exception_wf base_wf has-value_wf_base lifting-strict-callbyvalue
Rules used in proof :  sqequalSubstitution sqequalTransitivity computationStep sqequalReflexivity isect_memberFormation introduction cut sqequalRule lemma_by_obid sqequalHypSubstitution isectElimination thin baseClosed isect_memberEquality voidElimination voidEquality independent_isectElimination independent_pairFormation lambdaFormation callbyvalueApply hypothesis baseApply closedConclusion hypothesisEquality applyExceptionCases inrFormation imageMemberEquality imageElimination exceptionSqequal inlFormation sqequalAxiom because_Cache

Latex:
\mforall{}[a,B,c:Top].    (eval  x  =  a  in  B[x]  c  \msim{}  eval  x  =  a  in  B[x]  c)



Date html generated: 2016_05_13-PM-03_43_04
Last ObjectModification: 2016_01_14-PM-07_07_58

Theory : computation


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