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Theorems · Theorem · logic and foundations

Ordinal.deriv_fp

∀ {f : Ordinal.{u} → Ordinal.{u}}, Order.IsNormal f → ∀ (o : Ordinal.{u}), f (Ordinal.deriv f o) = Ordinal.deriv f o
Defined in
Mathlib.SetTheory.Ordinal.FixedPoint
Cited by
2 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Ordinal.veblen_gamma_zero · cited by 2Ordinal.veblen_gamma_zeroOrdinal.omega0_opow_epsilon · cited by 0Ordinal.omega0_opow_epsil…Ordinal · cited by 1688OrdinalOrder.IsNormal · cited by 118Order.IsNormalOrdinal.deriv · cited by 26Ordinal.derivOrdinal.derivFamily_fp · cited by 3Ordinal.derivFamily_fpOrdinal.deriv_fpCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.