Mathlib Map

Theorems · Theorem · logic and foundations

Ordinal.mod_zero

∀ (a : Ordinal.{u_4}), a % 0 = a
Defined in
Mathlib.SetTheory.Ordinal.Arithmetic
Cited by
2 results in Mathlib
Foundations
Depth 42 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.mul_add_mod_self · cited by 3Ordinal.mul_add_mod_selfOrdinal.mod_self · cited by 2Ordinal.mod_selfMulZeroClass.mul_zero · cited by 2091MulZeroClass.mul_zeroOrdinal · cited by 1688OrdinalOrdinal.div_zero · cited by 7Ordinal.div_zeroOrdinal.sub_zero · cited by 3Ordinal.sub_zeroOrdinal.mod_zeroCITED 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.