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At: is member remove lemma


T:Type, eq:{T=}, L:T List, x:T. x(eq) L (M,N:T List. L = (M @ (x.N)) & remove(eq;x;L) = (M @ N))

By:
Analyze 0
THEN
Analyze 0
THEN
DiscreteEq -1
THEN
UnivCD


Generated subgoal:

11. T: Type
2. eq: {T=}
3. eq TT
4. x,y:T. eq(x,y) x = y
5. L: T List
6. x: T
7. x(eq) L
M,N:T List. L = (M @ (x.N)) & remove(eq;x;L) = (M @ N)

About:
listconsassertuniverseequalimpliesandallexists

(13steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc