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Step * 1 1 of Lemma rneq-zero-or_wf


1. x : ℝ
2. y : ℝ
3. x ≠ r0 ∨ y ≠ r0
4. TERMOF{sq_stable__rneq-or:o, \\v:l} x y ∈ SqStable(x ≠ r0 ∨ y ≠ r0)
⊢ rneq-zero-or(x;y) ∈ x ≠ r0 ∨ y ≠ r0
BY
{ (Subst' TERMOF{sq_stable__rneq-or:o, \\v:l} x y ~ λu.rneq-zero-or(x;y) -1 THENA Computation) }

1
1. x : ℝ
2. y : ℝ
3. x ≠ r0 ∨ y ≠ r0
4. λu.rneq-zero-or(x;y) ∈ SqStable(x ≠ r0 ∨ y ≠ r0)
⊢ rneq-zero-or(x;y) ∈ x ≠ r0 ∨ y ≠ r0

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Latex:

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Latex:

1.  x  :  \mBbbR{}
2.  y  :  \mBbbR{}
3.  x  \mneq{}  r0  \mvee{}  y  \mneq{}  r0
4.  TERMOF\{sq\_stable\_\_rneq-or:o,  \mbackslash{}\mbackslash{}v:l\}  x  y  \mmember{}  SqStable(x  \mneq{}  r0  \mvee{}  y  \mneq{}  r0)
\mvdash{}  rneq-zero-or(x;y)  \mmember{}  x  \mneq{}  r0  \mvee{}  y  \mneq{}  r0


By

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Latex:
(Subst'  TERMOF\{sq\_stable\_\_rneq-or:o,  \mbackslash{}\mbackslash{}v:l\}  x  y  \msim{}  \mlambda{}u.rneq-zero-or(x;y)  -1  THENA  Computation)

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