Theorems · Theorem · group theory
Con.comap_injective
∀ {M : Type u_1} {N : Type u_2} [inst : Mul M] [inst_1 : Mul N] (f : M → N),
Function.Surjective f → ∀ (hf' : ∀ (x y : M), f (x * y) = f x * f y), Function.Injective (Con.comap f hf')- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Constatement · cited by 152
- Function.Injective.of_compproof · cited by 82
- Con.comapstatement · cited by 15
- Con.toSetoid_injectiveproof · cited by 3
- Setoid.comap_injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- RingCon.comap_injectiveproof · cited by 0