Theorems · Theorem · group theory
Matrix.GeneralLinearGroup.coe_map_inv_mul_map
∀ {n : Type u} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] {S : Type u_1}
[inst_3 : CommRing S] (f : R →+* S) (g : GL n R), (↑g)⁻¹.map ⇑f * (↑g).map ⇑f = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Units.valstatement and proof · cited by 1,966
- map_zeroproof · cited by 1,614
- map_oneproof · cited by 861
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.mapstatement and proof · cited by 247
- Matrix.map_oneproof · cited by 15
- Matrix.nonsing_inv_mulproof · cited by 12
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