Theorems · Theorem · group theory
Con.div
∀ {M : Type u_1} [inst : Group M] (c : Con M) {w x y z : M}, c w x → c y z → c (w / y) (x / z)Multiplicative congruence relations preserve division.
- Defined in
- Mathlib.GroupTheory.Congruence.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Group
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- div_eq_mul_invproof · cited by 715
- Constatement and proof · cited by 152
- Con.mulproof · cited by 7
- Con.invproof · cited by 2
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