Theorems · Theorem · logic and foundations
Ordinal.add_sub_cancel
∀ (a b : Ordinal.{u_4}), a + b - a = b- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- le_self_addproof · cited by 68
- Ordinal.add_sub_cancel_of_leproof · cited by 14
Cited by8
Results whose statement or proof uses this declaration.
- Ordinal.sub_selfproof · cited by 5
- Ordinal.mul_add_mod_selfproof · cited by 3
- Ordinal.sub_zeroproof · cited by 3
- Ordinal.dvd_add_iffproof · cited by 1
- Ordinal.sub_eq_of_add_eqproof · cited by 1
- Ordinal.isSuccLimit_add_iffproof · cited by 1
- Ordinal.sub_omega0_opow_log_ltproof · cited by 1
- Ordinal.add_sub_add_cancelproof · cited by 0