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Theorems · Theorem · logic and foundations

Ordinal.div_eq

∀ {a b c : Ordinal.{u_4}}, b * c ≤ a → a < b * (c + 1) → a / b = c
Defined in
Mathlib.SetTheory.Ordinal.Arithmetic
Cited by
1 results in Mathlib
Foundations
Depth 66 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.div_eq_iff · cited by 1Ordinal.div_eq_iffle_antisymm · cited by 2068le_antisymmOrdinal · cited by 1688OrdinalMulZeroClass.zero_mul · cited by 1625MulZeroClass.zero_muleq_or_ne · cited by 1117eq_or_neOrdinal.mul_le_iff_le_div · cited by 10Ordinal.mul_le_iff_le_divOrdinal.div_le · cited by 6Ordinal.div_leOrdinal.div_eqCITED BYCITES

Cites6

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.