Step
*
1
of Lemma
int_is_mono
1. x : ℤ
2. y : Base
3. x ≤ y
4. (y)↓
⊢ y ≤ x
BY
{ ((Assert ⌜x + 0 ≤ y + 0⌝⋅ THENA Auto) THEN FLemma `has-value-monotonic` [-1] THEN Auto THEN HasValueD (-1)) }
1
1. x : ℤ
2. y : Base
3. x ≤ y
4. (y)↓
5. x + 0 ≤ y + 0
6. (y + 0)↓
7. y ∈ ℤ
8. 0 ∈ ℤ
⊢ y ≤ x
Latex:
Latex:
1. x : \mBbbZ{}
2. y : Base
3. x \mleq{} y
4. (y)\mdownarrow{}
\mvdash{} y \mleq{} x
By
Latex:
((Assert \mkleeneopen{}x + 0 \mleq{} y + 0\mkleeneclose{}\mcdot{} THENA Auto)
THEN FLemma `has-value-monotonic` [-1]
THEN Auto
THEN HasValueD (-1))
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