WORD_SIMPLE_SUBWORD_CONV and related lemmas #117
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expressions":
WORD_SUBWORD_INSERT_INNER
WORD_SUBWORD_INSERT_OUTER
WORD_SUBWORD_JOIN_LOWER
WORD_SUBWORD_JOIN_UPPER
WORD_SUBWORD_SUBWORD
WORD_SUBWORD_TRIVIAL
as well as a new conversion WORD_SIMPLE_SUBWORD_CONV that packages
them up into a simplifying function, e.g.
# WORD_SIMPLE_SUBWORD_CONV `word_subword (x:int16) (0,16):int16`;;
val it : thm = |- word_subword x (0,16) = x
# WORD_SIMPLE_SUBWORD_CONV
`word_subword (word_join (x:int16) (y:int16):int32) (0,16):int16`;;
val it : thm = |- word_subword (word_join x y) (0,16) = word_subword y (0,16)
# WORD_SIMPLE_SUBWORD_CONV
`word_subword (word_subword (x:int64) (32,32):int32) (0,16):int16`;;
val it : thm =
|- word_subword (word_subword x (32,32)) (0,16) = word_subword x (32,16)
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This adds several new lemmas for "simple subwords of composite word expressions":
as well as a new conversion WORD_SIMPLE_SUBWORD_CONV that packages them up into a simplifying function, e.g.
WORD_SIMPLE_SUBWORD_CONV
word_subword (x:int16) (0,16):int16;;val it : thm = |- word_subword x (0,16) = x
WORD_SIMPLE_SUBWORD_CONV
word_subword (word_join (x:int16) (y:int16):int32) (0,16):int16;;val it : thm = |- word_subword (word_join x y) (0,16) = word_subword y (0,16)
WORD_SIMPLE_SUBWORD_CONV
word_subword (word_subword (x:int64) (32,32):int32) (0,16):int16;;val it : thm =
|- word_subword (word_subword x (32,32)) (0,16) = word_subword x (32,16)