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Theorems · Theorem · logic and foundations

Ordinal.sub_zero

∀ (a : Ordinal.{u_4}), a - 0 = a
Defined in
Mathlib.SetTheory.Ordinal.Arithmetic
Cited by
3 results in Mathlib
Foundations
Depth 38 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.opow_zero · cited by 38Ordinal.opow_zeroOrdinal.mod_eq_of_lt · cited by 2Ordinal.mod_eq_of_ltOrdinal.mod_zero · cited by 2Ordinal.mod_zerozero_add · cited by 2366zero_addOrdinal · cited by 1688OrdinalOrdinal.add_sub_cancel · cited by 8Ordinal.add_sub_cancelOrdinal.sub_zeroCITED BYCITES

Cites3

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

Cited by3

Results whose statement or proof uses this declaration.