Intuitionize the last element of a word and the concatenation of two words #5141
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This is the syntax, some additional text in a section header, and df-lsw All copied without change from set.mm.
This is lsw from set.mm but only defined for words. The proof is similar to the set.mm proof with a few more steps for set existence.
Stated as in set.mm. The proof is the set.mm proof with several small changes.
Stated as in set.mm. The proof is the set.mm proof with several small changes.
Stated as in set.mm. The proof is the set.mm proof with a small change.
Stated as in set.mm. The proof is the set.mm proof with one small change.
This is the syntax , df-concat , and some text in the section header. Copied without change from set.mm.
This is ccatfval with the added condition that the operands are finite. The proof is similar to the set.mm proof although several more steps are needed to show set existence.
Stated as in set.mm. The proof is the set.mm proof with several additional steps, for example for decidability and closure.
Stated as in set.mm. The proof is the set.mm proof with changes in some places including additional steps especially for set existence.
This is ccatcl but where the two words are over different sets. The proof is via sswrd and ccatcl .
Stated as in set.mm. The proof is the set.mm proof with a few additional steps for finiteness.
This is elfzoextl , elfzoext and elincfzoext
Stated as in set.mm. The proof is the set.mm proof with small changes.
Stated as in set.mm. The proof is the set.mm proof with several small changes.
Stated as in set.mm. The proof is basically the set.mm proof, although there are some changes and rearrangements.
This is ifeqda from set.mm with a decidability condition added. The proof is the set.mm proof with small changes for decidability.
Stated as in set.mm. The proof is the set.mm proof with changes in several steps.
Stated as in set.mm. The proof is the set.mm proof with lsw changed to lswwrd .
Stated as in set.mm. The proof is the set.mm proof with small changes.
avekens
reviewed
Dec 23, 2025
avekens
reviewed
Dec 23, 2025
avekens
reviewed
Dec 23, 2025
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Only some minor remarks about wording.
This is to replace "not empty word" in set.mm and iset.mm.
avekens
approved these changes
Dec 23, 2025
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This is
lastSand++. Although everything intuitionizes without much trouble.Includes copying over, or otherwise intuitionizing, a variety of theorems from earlier sections which were not in iset.mm yet.