Nuprl Lemma : rinv_functionality-tst
∀[x,y:ℝ]. (rnonzero(x) ⇒ (x = y) ⇒ (rinv(x) = rinv(y)))
Proof
Definitions occuring in Statement :
rinv: rinv(x),
rnonzero: rnonzero(x),
req: x = y,
real: ℝ,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
implies: P ⇒ Q,
iff: P ⇐⇒ Q,
and: P ∧ Q,
uimplies: b supposing a,
uiff: uiff(P;Q),
rev_uimplies: rev_uimplies(P;Q),
prop: ℙ,
real: ℝ,
rev_implies: P ⇐ Q
Latex:
\mforall{}[x,y:\mBbbR{}]. (rnonzero(x) {}\mRightarrow{} (x = y) {}\mRightarrow{} (rinv(x) = rinv(y)))
Date html generated:
2020_05_20-AM-10_53_49
Last ObjectModification:
2020_01_06-PM-00_27_40
Theory : reals
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