Theorems · Theorem · group theory
mul_ne_mul_right
∀ {G : Type u_1} [inst : Mul G] [IsLeftCancelMul G] (a : G) {b c : G}, a * b ≠ a * c ↔ b ≠ c- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- MulIsLeftCancelMul
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- IsLeftCancelMulstatement and proof · cited by 51
- mul_right_injectiveproof · cited by 15
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