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Theorems · Theorem · logic and foundations

Ordinal.lt_mul_div_add

∀ (a : Ordinal.{u_4}) {b : Ordinal.{u_4}}, b ≠ 0 → a < b * (a / b) + b
Defined in
Mathlib.SetTheory.Ordinal.Arithmetic
Cited by
2 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.mod_lt · cited by 5Ordinal.mod_ltOrdinal.mul_add_div · cited by 4Ordinal.mul_add_divOrdinal · cited by 1688OrdinalOrdinal.mul_succ · cited by 8Ordinal.mul_succOrdinal.lt_mul_succ_div · cited by 5Ordinal.lt_mul_succ_divOrdinal.lt_mul_div_addCITED BYCITES

Cites3

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.