Theorems · Definition · group theory
WithZero.coe
{α : Type u} → α → WithZero αThe canonical map from α into WithZero α
- Defined in
- Mathlib.Algebra.Group.WithOne.Defs
- Cited by
- 186 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithZerostatement · cited by 586
Cited by198
Results whose statement or proof uses this declaration.
- WithZero.expproof · cited by 112
- WithZero.unzeroproof · cited by 38
- MonoidWithZeroHom.ValueGroup₀.restrict₀proof · cited by 32
- WithZero.recZeroCoestatement and proof · cited by 29
- WithZero.coe_unzerostatement and proof · cited by 17
- MonoidWithZeroHom.ValueGroup₀.restrict₀_applystatement · cited by 13
- Ring.ordMonoidWithZeroHomproof · cited by 12
- MonoidWithZeroHom.ValueGroup₀.embedding_restrict₀proof · cited by 12
- WithZero.coe_ne_zerostatement · cited by 11
- WithZero.withZeroUnitsEquivproof · cited by 9
- WithZero.coe_le_coestatement · cited by 8
- WithZero.exp_logproof · cited by 8