Theorems · Theorem · order theory
AddMonoidWithOne.toCharZero
∀ {R : Type u_1} [inst : AddMonoidWithOne R] [inst_1 : PartialOrder R] [ZeroLEOneClass R] [NeZero 1]
[AddLeftStrictMono R], CharZero RThis is not an instance, as it would loop with NeZero.charZero_one.
- Defined in
- Mathlib.Algebra.Order.Ring.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- CharZerostatement · cited by 932
- AddMonoidWithOnestatement and proof · cited by 313
- ZeroLEOneClassstatement and proof · cited by 304
- AddLeftStrictMonostatement and proof · cited by 203
- lt_add_oneproof · cited by 105
- Nat.cast_succproof · cited by 99
- StrictMono.injectiveproof · cited by 94
- strictMono_nat_of_lt_succproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- IsOrderedRing.toCharZeroproof · cited by 0