Metamath Proof Explorer


Definition df-j0

Description: Define the _R0 order isomorphism from On X. On to On . Equivalent to Definition 7.59 of TakeutiZaring p. 55. (Contributed by BTernaryTau, 2-Sep-2026)

Ref Expression
Assertion df-j0 Could not format assertion : No typesetting found for |- _J0 = `' OrdIso ( _R0 , ( On X. On ) ) with typecode |-

Detailed syntax breakdown

Step Hyp Ref Expression
0 ccj0 Could not format _J0 : No typesetting found for class _J0 with typecode class
1 cr0 Could not format _R0 : No typesetting found for class _R0 with typecode class
2 con0 class On
3 2 2 cxp class On × On
4 3 1 coi Could not format OrdIso ( _R0 , ( On X. On ) ) : No typesetting found for class OrdIso ( _R0 , ( On X. On ) ) with typecode class
5 4 ccnv Could not format `' OrdIso ( _R0 , ( On X. On ) ) : No typesetting found for class `' OrdIso ( _R0 , ( On X. On ) ) with typecode class
6 0 5 wceq Could not format _J0 = `' OrdIso ( _R0 , ( On X. On ) ) : No typesetting found for wff _J0 = `' OrdIso ( _R0 , ( On X. On ) ) with typecode wff