Nuprl Lemma : rnexp-one
∀n:ℕ. (r1^n = r1)
Proof
Definitions occuring in Statement :
rnexp: x^k1,
req: x = y,
int-to-real: r(n),
nat: ℕ,
all: ∀x:A. B[x],
natural_number: $n
Definitions unfolded in proof :
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x],
member: t ∈ T,
nat: ℕ,
implies: P ⇒ Q,
false: False,
ge: i ≥ j ,
uimplies: b supposing a,
not: ¬A,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
and: P ∧ Q,
prop: ℙ,
le: A ≤ B,
less_than': less_than'(a;b),
decidable: Dec(P),
or: P ∨ Q,
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
squash: ↓T,
true: True,
subtype_rel: A ⊆r B,
guard: {T},
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}n:\mBbbN{}. (r1\^{}n = r1)
Date html generated:
2020_05_20-AM-10_58_53
Last ObjectModification:
2020_01_02-PM-02_13_04
Theory : reals
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