Mathlib Map

Theorems · Theorem · logic and foundations

Cardinal.ord_eq_zero

∀ {a : Cardinal.{u_1}}, a.ord = 0 ↔ a = 0
Defined in
Mathlib.SetTheory.Ordinal.Basic
Cited by
1 results in Mathlib
Foundations
Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Cardinal.nonempty_ord_toType · cited by 0Cardinal.nonempty_ord_toT…Cardinal · cited by 2598CardinalOrdinal · cited by 1688OrdinalCardinal.ord · cited by 266Cardinal.ordCardinal.ord_zero · cited by 6Cardinal.ord_zeroCardinal.ord_injective · cited by 5Cardinal.ord_injectiveCardinal.ord_eq_zeroCITED BYCITES

Cites5

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

Cited by1

Results whose statement or proof uses this declaration.