Step
*
1
of Lemma
perm_f_b_cancel
1. T : Type
2. p : Perm(T)
3. (p.b o p.f) = Id{T} ∈ (T ⟶ T)
4. (p.f o p.b) = Id{T} ∈ (T ⟶ T)
5. x : T
⊢ (p.f (p.b x)) = x ∈ T
BY
{ (((RWH add_composeC 0 THEN (RewriteWith [3; 4] [] 0 THENA Auto{1,1000}-1)) THEN AbReduce 0) THEN Auto) }
Latex:
Latex:
1. T : Type
2. p : Perm(T)
3. (p.b o p.f) = Id\{T\}
4. (p.f o p.b) = Id\{T\}
5. x : T
\mvdash{} (p.f (p.b x)) = x
By
Latex:
(((RWH add\_composeC 0 THEN (RewriteWith [3; 4] [] 0 THENA Auto\{1,1000\}-1)) THEN AbReduce 0)
THEN Auto
)
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