Theorems · Inductive type · group theory
IsRightCancelMul
(G : Type u) → [Mul G] → Prop
A mixin for right cancellative multiplication.
- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 43 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by64
Results whose statement or proof uses this declaration.
- mul_left_injectivestatement and proof · cited by 19
- mul_right_cancelstatement and proof · cited by 14
- mulRightEmbeddingstatement and proof · cited by 9
- mul_left_injstatement and proof · cited by 8
- mul_right_cancel_iffstatement and proof · cited by 6
- mul_eq_rightstatement and proof · cited by 5
- mulRightEmbedding_applystatement and proof · cited by 4
- Function.Injective.isRightCancelMulstatement and proof · cited by 3
- Finset.card_le_card_mul_rightstatement and proof · cited by 3
- IsRightRegular.allstatement and proof · cited by 3
- Function.Injective.isCancelMulproof · cited by 2
- right_eq_mulstatement and proof · cited by 2