Step
*
1
1
3
of Lemma
pv11_p1_max_bnum_comm
1. ldrs_uid : Id ⟶ ℤ
2. x4 : ℤ
3. x5 : Id
4. x2 : ℤ
5. x3 : Id
6. Inj(Id;ℤ;ldrs_uid)
7. x4 < x2
8. (x2 = x4 ∈ ℤ) ∧ ((ldrs_uid x3) ≤ (ldrs_uid x5))
⊢ (inl <x2, x3>) = (inl <x4, x5>) ∈ (ℤ × Id?)
BY
{ Auto' }
Latex:
Latex:
1. ldrs$_{uid}$ : Id {}\mrightarrow{} \mBbbZ{}
2. x4 : \mBbbZ{}
3. x5 : Id
4. x2 : \mBbbZ{}
5. x3 : Id
6. Inj(Id;\mBbbZ{};ldrs$_{uid}$)
7. x4 < x2
8. (x2 = x4) \mwedge{} ((ldrs$_{uid}$ x3) \mleq{} (ldrs$_{uid}$ x5))
\mvdash{} (inl <x2, x3>) = (inl <x4, x5>)
By
Latex:
Auto'
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