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Theorems · Theorem · group theory

AddLocalization.ind

∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {p : AddLocalization S → Prop},
  (∀ (y : M × ↥S), p (AddLocalization.mk y.1 y.2)) → ∀ (x : AddLocalization S), p x
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
1 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddLocalization.induction_on · cited by 2AddLocalization.induction…DFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidAddSubmonoid · cited by 1178AddSubmonoidAddLocalization · cited by 38AddLocalizationAddLocalization.mk · cited by 28AddLocalization.mkAddLocalization.r · cited by 14AddLocalization.rAddLocalization.rec · cited by 2AddLocalization.recAddLocalization.indCITED BYCITES

Cites7

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Cited by1

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