`order_arithmetic_invariant`

definition

show as: view math explainer →

module: IndisputableMonolith.Foundation.UniversalForcing.OrderRealization
domain: Foundation
line: 74 · github
papers citing: none yet

open explainer

Read the cached plain-language explainer.

open lean source

IndisputableMonolith.Foundation.UniversalForcing.OrderRealization on GitHub at line 74.

browse module

All declarations in this module, on Recognition.

explainer page

A cached Ask Recognition explainer exists for this declaration.

open explainer

depends on

formal source

  71    simp [intCost]
  72
  73/-- Ordered realization carries the universal forced arithmetic. -/
  74noncomputable def order_arithmetic_invariant (R : LogicRealization.{0, 0}) :
  75    (arithmeticOf orderRealization).peano.carrier ≃ (arithmeticOf R).peano.carrier :=
  76  ArithmeticOf.equivOfInitial (arithmeticOf orderRealization) (arithmeticOf R)
  77
  78end OrderRealization
  79end UniversalForcing
  80end Foundation
  81end IndisputableMonolith

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.