Nuprl Lemma : rminus-zero
-(r0) = r0
Proof
Definitions occuring in Statement :
req: x = y,
rminus: -(x),
int-to-real: r(n),
natural_number: $n
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
squash: ↓T,
prop: ℙ,
true: True,
subtype_rel: A ⊆r B,
guard: {T},
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q
Lemmas referenced :
req_weakening,
rminus_wf,
int-to-real_wf,
equal_wf,
squash_wf,
true_wf,
real_wf,
rminus-int,
iff_weakening_equal,
minus-zero
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isectElimination,
thin,
natural_numberEquality,
hypothesis,
independent_isectElimination,
applyEquality,
lambdaEquality,
imageElimination,
hypothesisEquality,
equalityTransitivity,
equalitySymmetry,
universeEquality,
sqequalRule,
imageMemberEquality,
baseClosed,
productElimination,
independent_functionElimination,
because_Cache
Latex:
-(r0) = r0
Date html generated:
2017_10_02-PM-07_15_43
Last ObjectModification:
2017_07_28-AM-07_20_39
Theory : reals
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