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This is the syntax and df-subgr . Copied without change from set.mm.
Stated as in set.mm. The proof is the set.mm proof with small changes in one place.
This is subgruhgredgd from set.mm with nonempty changed to inhabited. The proof is the set.mm proof with small changes needed for that change.
This is subumgredg2 from set.mm with set size changes. The proof is the set.mm proof with small changes in several places.
Stated as in set.mm. The proof is the set.mm proof with changes related to nonempty versus inhabited.
This is a theorem about sets of size one or two. The proof is pretty easy via en1m and en2m .
Stated as in set.mm. The proof is the set.mm proof with changes related to set size.
Stated as in set.mm. The proof is the set.mm proof with changes for set size.
Stated as in set.mm. The proof is the set.mm proof with changes for set size.
Stated as in set.mm. The proof is the set.mm proof with some changes for set existence.
Stated as in set.mm. The proof is the set.mm proof with various small changes for set existence.
Stated as in set.mm. The proof is the set.mm proof with small changes for set existence.
Stated as in set.mm. The proof is the set.mm proof with small changes for set existence.
Stated as in set.mm. The proof is the set.mm proof with small changes for set existence.
avekens
approved these changes
Apr 4, 2026
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This is the section "Subgraphs".
Most of it intuitionizes easily, some with some small changes. Most of the theorems I didn't include are either not used much in set.mm, or seemed to potentially (I didn't look carefully) have issues with whether their use of things like set difference was intuitionistic.
sspw1or2is I suppose the most new theorem, but that isn't all that different from existing set size theorems.