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Theorems · Theorem · group theory

AddLocalization.induction_on

∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {p : AddLocalization S → Prop} (x : AddLocalization S),
  (∀ (y : M × ↥S), p (AddLocalization.mk y.1 y.2)) → p x
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
2 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoid
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AddLocalization.induction_on₂ · cited by 1AddLocalization.induction…AddLocalization.induction_on₃ · cited by 0AddLocalization.induction…AddCommMonoid · cited by 12281AddCommMonoidAddSubmonoid · cited by 1178AddSubmonoidAddLocalization · cited by 38AddLocalizationAddLocalization.mk · cited by 28AddLocalization.mkAddLocalization.ind · cited by 1AddLocalization.indAddLocalization.induction_onCITED BYCITES

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Cited by2

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