Theorems · Theorem · logic and foundations

Ordinal.veblenWith_veblenWith_eq_veblenWith_iff

∀ {f : Ordinal.{u} → Ordinal.{u}} {o₁ o₂ a : Ordinal.{u}},
  Order.IsNormal f →
    o₂ ≤ o₁ →
      (Ordinal.veblenWith f o₁ (Ordinal.veblenWith f o₂ a) = Ordinal.veblenWith f o₂ a ↔ Ordinal.veblenWith f o₁ a = a)

Defined in: Mathlib.SetTheory.Ordinal.Veblen
Cited by: 3 results in Mathlib
Foundations: Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites3

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

Ordinalstatement and proof · cited by 1,688
Order.IsNormalstatement and proof · cited by 118
Ordinal.veblenWithstatement · cited by 34

Cited by3

Results whose statement or proof uses this declaration.

Ordinal.veblenWith_lt_veblenWith_veblenWith_iffproof · cited by 2
Ordinal.veblenWith_apply_eq_apply_iffproof · cited by 1
Ordinal.veblen_veblen_eq_veblen_iffproof · cited by 0