metamath / set.mm

Metamath source file for logic and set theory
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Add trirec0 to iset.mm #4043

Closed jkingdon closed 1 month ago

jkingdon commented 1 month ago

This is an equivalent to real trichotomy. Expand comment of trilpo to say more about equivalents to trichotomy.

Also prove trirec0xor which is the same as trirec0 but with exclusive-or (as stated in the discrete field definition at https://ncatlab.org/nlab/show/field ).

The larger context of this pull request is the discussion of analytic LPO at https://ncatlab.org/nlab/show/principle+of+omniscience#analytic