Step
*
1
of Lemma
imagetype_wf
1. A : Type
2. f : Base
3. Trans(Base;x,y.image-per(A;f) x y)
4. x : Base
5. y : Base
6. image-per(A;f) x y
⊢ image-per(A;f) y x
BY
{ (InstLemma `image-per-symmetric` [⌜A⌝;⌜f⌝]⋅ THEN Auto) }
Latex:
Latex:
1. A : Type
2. f : Base
3. Trans(Base;x,y.image-per(A;f) x y)
4. x : Base
5. y : Base
6. image-per(A;f) x y
\mvdash{} image-per(A;f) y x
By
Latex:
(InstLemma `image-per-symmetric` [\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}f\mkleeneclose{}]\mcdot{} THEN Auto)
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