Theorems · Theorem · group theory
Rack.self_distrib_inv
∀ {R : Type u_1} [inst : Rack R] {x y z : R},
Rack.invAct x (Rack.invAct y z) = Rack.invAct (Rack.invAct x y) (Rack.invAct x z)- Defined in
- Mathlib.Algebra.Quandle
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- Rack
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Rackstatement and proof · cited by 49
- Shelf.actproof · cited by 37
- Rack.invActstatement and proof · cited by 18
- Shelf.self_distribproof · cited by 8
- Rack.left_cancelproof · cited by 6
- Rack.right_invproof · cited by 6
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