Theorems · Theorem · group theory
Units.map_bijective
∀ {M : Type u} {N : Type v} [inst : Monoid M] [inst_1 : Monoid N] {f : M →* N},
Function.Bijective ⇑f → Function.Bijective ⇑(Units.map f)- Defined in
- Mathlib.Algebra.Group.Units.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- map_mulproof · cited by 1,137
- Function.Bijectivestatement and proof · cited by 863
- map_oneproof · cited by 861
- Function.Bijective.injectiveproof · cited by 115
- Function.Bijective.surjectiveproof · cited by 114
- Units.mapstatement · cited by 95
- Units.casesOnproof · cited by 15
- Units.map_injectiveproof · cited by 4
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