Step
*
of Lemma
omral_action_times
∀g:OCMon. ∀r:CDRng. ∀v,w:|r|. ∀ps:|omral(g;r)|. (((v * w) ⋅⋅ ps) = (v ⋅⋅ (w ⋅⋅ ps)) ∈ |omral(g;r)|)
BY
{ ((RepD THENM BLemma `omral_lookups_same_a` THENM D 0) THENA Auto) }
1
1. g : OCMon
2. r : CDRng
3. v : |r|
4. w : |r|
5. ps : |omral(g;r)|
6. u : |g|
⊢ (((v * w) ⋅⋅ ps)[u]) = ((v ⋅⋅ (w ⋅⋅ ps))[u]) ∈ |r|
Latex:
Latex:
\mforall{}g:OCMon. \mforall{}r:CDRng. \mforall{}v,w:|r|. \mforall{}ps:|omral(g;r)|. (((v * w) \mcdot{}\mcdot{} ps) = (v \mcdot{}\mcdot{} (w \mcdot{}\mcdot{} ps)))
By
Latex:
((RepD THENM BLemma `omral\_lookups\_same\_a` THENM D 0) THENA Auto)
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