Step
*
1
1
1
1
of Lemma
partial-not-exception
.....subterm..... T:t
1:n
1. T : Type
2. x : Base
3. x1 : Base
4. x = x1 ∈ pertype(λx,y. ((x ∈ base-partial(T)) ∧ (y ∈ base-partial(T)) ∧ per-partial(T;x;y)))
5. x ∈ base-partial(T)
6. x1 ∈ base-partial(T)
7. per-partial(T;x;x1)
⊢ is-exception(x) = is-exception(x1) ∈ ℙ
BY
{ TACTIC:Unfold `is-exception` 0 }
1
1. T : Type
2. x : Base
3. x1 : Base
4. x = x1 ∈ pertype(λx,y. ((x ∈ base-partial(T)) ∧ (y ∈ base-partial(T)) ∧ per-partial(T;x;y)))
5. x ∈ base-partial(T)
6. x1 ∈ base-partial(T)
7. per-partial(T;x;x1)
⊢ (exception(⊥; ⊥) ≤ x) = (exception(⊥; ⊥) ≤ x1) ∈ ℙ
Latex:
Latex:
.....subterm..... T:t
1:n
1. T : Type
2. x : Base
3. x1 : Base
4. x = x1
5. x \mmember{} base-partial(T)
6. x1 \mmember{} base-partial(T)
7. per-partial(T;x;x1)
\mvdash{} is-exception(x) = is-exception(x1)
By
Latex:
TACTIC:Unfold `is-exception` 0
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